LCM of 850 and 680

LCM of 850 and 680 is 3400. Students will get a clear idea about the steps used to get the least common multiple of 850 and 680 with the help of the common multiples. (850, 1700, 2550, 3400, 4250, ….) and (680, 1360, 2040, 2720,….) are the multiples of 850 and 680. The LCM of two numbers according to the prime factorisation method, listing the multiples and division methods, is provided in a stepwise format for a better understanding among the students.

Also read: Least common multiple

What is LCM of 850 and 680?

The answer to this question is 3400. The LCM of 850 and 680 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 850 and 680, is the smallest positive integer 3400 which is divisible by both 850 and 680 with no remainder.

How to Find LCM of 850 and 680?

LCM of 850 and 680 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 850 and 680 Using Prime Factorisation Method

The prime factorisation of 850 and 680, respectively, is given by:

850 = 2 x 5 x 5 x 17 = 2¹ x 5² x 17¹

680 = 2 x 2 x 2 x 5 x 17 = 2³ x 5¹ x 17¹

LCM (850, 680) = 3400

LCM of 850 and 680 Using Division Method

We’ll divide the numbers (850, 680) by their prime factors to get the LCM of 850 and 680 using the division method (preferably common). The LCM of 850 and 680 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (850, 680) = 3400

LCM of 850 and 680 Using Listing the Multiples

To calculate the LCM of 850 and 680 by listing out the common multiples, list the multiples as shown below

Multiples of 850 = 850, 1700, 2550, 3400, 4250, ……

Multiples of 680 = 680, 1360, 2040, 2720, 3400, …..

LCM (850, 680) = 3400

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 850 and 680 Solved Examples 

Question: Show the smallest number which is exactly divisible by 850 and 680.

Solution:

The smallest number which is divisible exactly by 850 and 680 gives the LCM.

Multiples of 850 = 850, 1700, 2550, 3400, 4250, ……

Multiples of 680 = 680, 1360, 2040, 2720, 3400, …..

Hence, the LCM is 3400.