Least Common Multiple of 8457/744, 3706/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8457/744, 3706/939 quickly i.e. 10447214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8457/744, 3706/939 is 10447214.

LCM(8457/744, 3706/939) = 10447214

LCM of 8457/744, 3706/939

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 8457/744,3706/939

Given numbers are 8457/744,3706/939

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 8457,3706

Least Common Multiple of Numerators i.e. LCM of 8457,3706 is 31341642.

GCF of Denominators means GCF of 744,939 as per the given fractions.

GCF of 744,939 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8457,3706

LCM of Fractions 8457/744,3706/939 is 10447214

Given numbers has no common factors except 1. So, there LCM is their product i.e 31341642

Least Common Multiple of 8457,3706 with GCF Formula

Least Common Multiple of 8457,3706 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 8457,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8457,3706) = 1

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

GCF(8457,3706) x common factors =1 x 1 = 1

LCM(8457,3706) = ( 8457 × 3706 ) / 1

LCM(8457,3706) = 31341642 / 1

LCM(8457,3706) = 31341642


Lets's calculate GCF of 744,939

3 744, 939
248, 313

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31341642/3

Therefore the LCM of Fractions 8457/744,3706/939 is 10447214

Greatest Common Factor of 744,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,939 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 744,939 . The biggest common factor number is the GCF number.
So the greatest common factor 744,939 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8457/744, 3706/939

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 8457/744, 3706/939?

Answer: LCM of Numerators as per given numbers 8457/744, 3706/939 is

LCM of Numerators i.e. for 8457,3706 is 31341642

GCF of denominators i.e. for 744,939 is 3.

Thus, LCM of Fractions is 10447214.Finally, LCM of Fractions for 8457/744, 3706/939 is 10447214.