Least Common Multiple of 711/57, 612/5073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 711/57, 612/5073 quickly i.e. 48348/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/57, 612/5073 is 48348/57.

LCM(711/57, 612/5073) = 48348/57

LCM of 711/57, 612/5073

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 711/57,612/5073

Given numbers are 711/57,612/5073

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 711,612

Least Common Multiple of Numerators i.e. LCM of 711,612 is 48348.

GCF of Denominators means GCF of 57,5073 as per the given fractions.

GCF of 57,5073 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,612

LCM of Fractions 711/57,612/5073 is 48348/57

3 711, 612
3 237, 204
79, 68

∴ So the LCM of the given numbers is 3 x 3 x 79 x 68 = 48348

Least Common Multiple of 711,612 with GCF Formula

Least Common Multiple of 711,612 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 711,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,612) = 9

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

GCF(711,612) x common factors =9 x 1 = 9

LCM(711,612) = ( 711 × 612 ) / 9

LCM(711,612) = 435132 / 9

LCM(711,612) = 48348


Lets's calculate GCF of 57,5073

3 57, 5073
19 19, 1691
1, 89

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48348/57

Therefore the LCM of Fractions 711/57,612/5073 is 48348/57

Greatest Common Factor of 57,5073 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,5073 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 5073

List of positive integer factors of 5073 that divides 5073 without a remainder.

1,3,19,57,89,267,1691,5073

Greatest Common Factor

We found the factors 57,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 57,5073 is 57.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 711/57, 612/5073

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 711/57, 612/5073?

Answer: LCM of Numerators as per given numbers 711/57, 612/5073 is

LCM of Numerators i.e. for 711,612 is 48348

GCF of denominators i.e. for 57,5073 is 57.

Thus, LCM of Fractions is 48348/57.Finally, LCM of Fractions for 711/57, 612/5073 is 48348/57.