Least Common Multiple of 712/52, 237/5586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 712/52, 237/5586 quickly i.e. 84372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/52, 237/5586 is 84372.

LCM(712/52, 237/5586) = 84372

LCM of 712/52, 237/5586

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 712/52,237/5586

Given numbers are 712/52,237/5586

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 712,237

Least Common Multiple of Numerators i.e. LCM of 712,237 is 168744.

GCF of Denominators means GCF of 52,5586 as per the given fractions.

GCF of 52,5586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,237

LCM of Fractions 712/52,237/5586 is 84372

Given numbers has no common factors except 1. So, there LCM is their product i.e 168744

Least Common Multiple of 712,237 with GCF Formula

Least Common Multiple of 712,237 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 712,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,237) = 1

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

GCF(712,237) x common factors =1 x 1 = 1

LCM(712,237) = ( 712 × 237 ) / 1

LCM(712,237) = 168744 / 1

LCM(712,237) = 168744


Lets's calculate GCF of 52,5586

2 52, 5586
26, 2793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168744/2

Therefore the LCM of Fractions 712/52,237/5586 is 84372

Greatest Common Factor of 52,5586 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,5586 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 5586

List of positive integer factors of 5586 that divides 5586 without a remainder.

1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586

Greatest Common Factor

We found the factors 52,5586 . The biggest common factor number is the GCF number.
So the greatest common factor 52,5586 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 712/52, 237/5586

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 712/52, 237/5586?

Answer: LCM of Numerators as per given numbers 712/52, 237/5586 is

LCM of Numerators i.e. for 712,237 is 168744

GCF of denominators i.e. for 52,5586 is 2.

Thus, LCM of Fractions is 84372.Finally, LCM of Fractions for 712/52, 237/5586 is 84372.