LCM of 63, 70 and 77

LCM of 63, 70 and 77 is 6930. LCM is the method which is used to find the smallest common multiple between the numbers 63, 70 and 77. Least common multiples of 63, 70 and 77 can be determined by analyzing the common multiples of the numbers. (63, 126, 189, 252, 315, ….), (70, 140, 210, 280, 350, …..) and (77, 154, 231, 308, 385, ….) are the multiples of 63, 70 and 77. The LCM of two numbers is calculated by listing the multiples, prime factorization method and division method.

Also read: Least common multiple

What is LCM of 63, 70 and 77?

The answer to this question is 6930. The LCM of 63, 70 and 77 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 63, 70 and 77, is the smallest positive integer 6930 which is divisible by both 63, 70 and 77 with no remainder.

How to Find LCM of 63, 70 and 77?

LCM of 63, 70 and 77 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 63, 70 and 77 Using Prime Factorisation Method

The prime factorisation of 63, 70 and 77, respectively, is given by:

63 = 3 x 3 x 7 = 3² x 7¹

70 = 2¹ x 5¹ x 7¹ 

77 = 7¹ x 11¹

LCM (63, 70, 77) = 6930

LCM of 63, 70 and 77 Using Division Method

We’ll divide the numbers (63, 70, 77) by their prime factors to get the LCM of 63, 70 and 77 using the division method (preferably common). The LCM of 63, 70 and 77 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (63, 70, 77) = 6930

LCM of 63, 70 and 77 Using Listing the Multiples

To calculate the LCM of 63, 70 and 77 by listing out the common multiples, list the multiples as shown below

Multiples of 63 = 63, 126, 189, 252, 315, …..

Multiples of 70 = 70, 140, 210, 280, 350, 420, ….

Multiples of 77 = 77, 154, 231, 308, 385, ….

LCM (63, 70, 77) = 6930

Related Articles

• Prime Factorization and Division Method for LCM and HCF
• Prime Factors
• Properties of HCF and LCM
• LCM Formula

Video Lesson on Applications of LCM

LCM of 63, 70 and 77 Solved Examples 

Question: Determine the smallest number which is exactly divisible by 63, 70 and 77.

Solution:

We know that

LCM is the smallest number exactly divisible by 63, 70 and 77.

Multiples of 63 = 63, 126, 189, 252, 315, 378, 441, 504, 567, 630, . . . ., 6741, 6804, 6867, 6930, . . . .

Multiples of 70 = 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, . . . ., 6720, 6790, 6860, 6930, . . . .

Multiples of 77 = 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, . . . ., 6699, 6776, 6853, 6930, . . . .

Hence, the LCM of 63, 70 and 77 is 6930.