Least Common Multiple of 57/774, 4822/1936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/774, 4822/1936 quickly i.e. 137427 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/774, 4822/1936 is 137427.

LCM(57/774, 4822/1936) = 137427

LCM of 57/774, 4822/1936

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 57/774,4822/1936

Given numbers are 57/774,4822/1936

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 57,4822

Least Common Multiple of Numerators i.e. LCM of 57,4822 is 274854.

GCF of Denominators means GCF of 774,1936 as per the given fractions.

GCF of 774,1936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,4822

LCM of Fractions 57/774,4822/1936 is 137427

Given numbers has no common factors except 1. So, there LCM is their product i.e 274854

Least Common Multiple of 57,4822 with GCF Formula

Least Common Multiple of 57,4822 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 57,4822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,4822) = 1

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

GCF(57,4822) x common factors =1 x 1 = 1

LCM(57,4822) = ( 57 × 4822 ) / 1

LCM(57,4822) = 274854 / 1

LCM(57,4822) = 274854


Lets's calculate GCF of 774,1936

2 774, 1936
387, 968

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274854/2

Therefore the LCM of Fractions 57/774,4822/1936 is 137427

Greatest Common Factor of 774,1936 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,1936 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936

Greatest Common Factor

We found the factors 774,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 774,1936 is 2.


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Frequently Asked Questions on Fractional LCM of 57/774, 4822/1936

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 57/774, 4822/1936?

Answer: LCM of Numerators as per given numbers 57/774, 4822/1936 is

LCM of Numerators i.e. for 57,4822 is 274854

GCF of denominators i.e. for 774,1936 is 2.

Thus, LCM of Fractions is 137427.Finally, LCM of Fractions for 57/774, 4822/1936 is 137427.