Least Common Multiple of 616/50, 212/8770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 616/50, 212/8770 quickly i.e. 32648/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/50, 212/8770 is 32648/10.

LCM(616/50, 212/8770) = 32648/10

LCM of 616/50, 212/8770

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 616/50,212/8770

Given numbers are 616/50,212/8770

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 616,212

Least Common Multiple of Numerators i.e. LCM of 616,212 is 32648.

GCF of Denominators means GCF of 50,8770 as per the given fractions.

GCF of 50,8770 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,212

LCM of Fractions 616/50,212/8770 is 32648/10

2 616, 212
2 308, 106
154, 53

∴ So the LCM of the given numbers is 2 x 2 x 154 x 53 = 32648

Least Common Multiple of 616,212 with GCF Formula

Least Common Multiple of 616,212 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 616,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,212) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(616,212) x common factors =4 x 1 = 4

LCM(616,212) = ( 616 × 212 ) / 4

LCM(616,212) = 130592 / 4

LCM(616,212) = 32648


Lets's calculate GCF of 50,8770

2 50, 8770
5 25, 4385
5, 877

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32648/10

Therefore the LCM of Fractions 616/50,212/8770 is 32648/10

Greatest Common Factor of 50,8770 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,8770 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 8770

List of positive integer factors of 8770 that divides 8770 without a remainder.

1,2,5,10,877,1754,4385,8770

Greatest Common Factor

We found the factors 50,8770 . The biggest common factor number is the GCF number.
So the greatest common factor 50,8770 is 10.


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Frequently Asked Questions on Fractional LCM of 616/50, 212/8770

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 616/50, 212/8770?

Answer: LCM of Numerators as per given numbers 616/50, 212/8770 is

LCM of Numerators i.e. for 616,212 is 32648

GCF of denominators i.e. for 50,8770 is 10.

Thus, LCM of Fractions is 32648/10.Finally, LCM of Fractions for 616/50, 212/8770 is 32648/10.