You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

LCM

If the studen...

Question

If the students of a class can be grouped exactly into $6, 8$ or $10,$ then what is the minimum number of students in the class?

60

No worries! We‘ve got your back. Try BYJU‘S free classes today!

120

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

180

No worries! We‘ve got your back. Try BYJU‘S free classes today!

240

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $120$
The required number of students will be the L.C.M. of $6, 8$ and $10$
$6 = 2 \times 3$
$8 = 2 \times 2 \times 2$
$10 = 2 \times 5$
$L C M = 2 \times 2 \times 2 \times 3 \times 5 = 120$

Suggest Corrections

Similar questions

Q. A gym class can be divided into

8

teams with an equal number of students on each team or into

12

teams with an equal number of students on each team. What is the lowest possible number of students in the class?

Q. A school has 120 students. Each student attends 5 classes of different subjects and each class has 20 students and 1 teacher. If in a day, a teacher teaches 3 classes, what is the minimum number of teachers in the school?

Q. Mr. Das Gupta teaches three drama classes
Mr. Das Gupta wants to divide each class into groups so that every group in every class has the same number of students and there are no students left over. What is the maximum number of students that he can put into each group ?

Q. There are

5

students in class

10,

6

students in class

11

and

8

students in class

12

. If the number of ways, in which

10

students can be selected from them so as to include at least

2

students from each class and at most

5

students from the total

11

students of class

10

and

11

100 k

, then

k

is equal to

In a class, some chocolates were distributed to the students. The number of chocolates given to each student is exactly the same as the number of students in the class. If a total of 676 chocolates were distributed among the students, how many students are there in the class?

Join BYJU'S Learning Program

If the students of a class can be grouped exactly into 6,8 or 10, then what is the minimum number of students in the class?

The correct option is A 120The required number of students will be the L.C.M. of 6,8 and 10 6=2×38=2×2×210=2×5LCM=2×2×2×3×5=120

If the students of a class can be grouped exactly into $6, 8$ or $10,$ then what is the minimum number of students in the class?

The correct option is A $120$
The required number of students will be the L.C.M. of $6, 8$ and $10$
$6 = 2 \times 3$
$8 = 2 \times 2 \times 2$
$10 = 2 \times 5$
$L C M = 2 \times 2 \times 2 \times 3 \times 5 = 120$