Least Common Multiple of 2537/564, 7090/1270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2537/564, 7090/1270 quickly i.e. 8993665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2537/564, 7090/1270 is 8993665.

LCM(2537/564, 7090/1270) = 8993665

LCM of 2537/564, 7090/1270

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 2537/564,7090/1270

Given numbers are 2537/564,7090/1270

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 2537,7090

Least Common Multiple of Numerators i.e. LCM of 2537,7090 is 17987330.

GCF of Denominators means GCF of 564,1270 as per the given fractions.

GCF of 564,1270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2537,7090

LCM of Fractions 2537/564,7090/1270 is 8993665

Given numbers has no common factors except 1. So, there LCM is their product i.e 17987330

Least Common Multiple of 2537,7090 with GCF Formula

Least Common Multiple of 2537,7090 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 2537,7090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2537,7090) = 1

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

GCF(2537,7090) x common factors =1 x 1 = 1

LCM(2537,7090) = ( 2537 × 7090 ) / 1

LCM(2537,7090) = 17987330 / 1

LCM(2537,7090) = 17987330


Lets's calculate GCF of 564,1270

2 564, 1270
282, 635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17987330/2

Therefore the LCM of Fractions 2537/564,7090/1270 is 8993665

Greatest Common Factor of 564,1270 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,1270 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1,2,5,10,127,254,635,1270

Greatest Common Factor

We found the factors 564,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 564,1270 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2537/564, 7090/1270

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 2537/564, 7090/1270?

Answer: LCM of Numerators as per given numbers 2537/564, 7090/1270 is

LCM of Numerators i.e. for 2537,7090 is 17987330

GCF of denominators i.e. for 564,1270 is 2.

Thus, LCM of Fractions is 8993665.Finally, LCM of Fractions for 2537/564, 7090/1270 is 8993665.