Least Common Multiple of 980/57, 747/5145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 980/57, 747/5145 quickly i.e. 244020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/57, 747/5145 is 244020.

LCM(980/57, 747/5145) = 244020

LCM of 980/57, 747/5145

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 980/57,747/5145

Given numbers are 980/57,747/5145

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 980,747

Least Common Multiple of Numerators i.e. LCM of 980,747 is 732060.

GCF of Denominators means GCF of 57,5145 as per the given fractions.

GCF of 57,5145 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,747

LCM of Fractions 980/57,747/5145 is 244020

Given numbers has no common factors except 1. So, there LCM is their product i.e 732060

Least Common Multiple of 980,747 with GCF Formula

Least Common Multiple of 980,747 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 980,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,747) = 1

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

GCF(980,747) x common factors =1 x 1 = 1

LCM(980,747) = ( 980 × 747 ) / 1

LCM(980,747) = 732060 / 1

LCM(980,747) = 732060


Lets's calculate GCF of 57,5145

3 57, 5145
19, 1715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732060/3

Therefore the LCM of Fractions 980/57,747/5145 is 244020

Greatest Common Factor of 57,5145 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,5145 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 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Greatest Common Factor

We found the factors 57,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 57,5145 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 980/57, 747/5145

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 980/57, 747/5145?

Answer: LCM of Numerators as per given numbers 980/57, 747/5145 is

LCM of Numerators i.e. for 980,747 is 732060

GCF of denominators i.e. for 57,5145 is 3.

Thus, LCM of Fractions is 244020.Finally, LCM of Fractions for 980/57, 747/5145 is 244020.