Least Common Multiple of 7508/540, 1674/7757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7508/540, 1674/7757 quickly i.e. 6284196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7508/540, 1674/7757 is 6284196.

LCM(7508/540, 1674/7757) = 6284196

LCM of 7508/540, 1674/7757

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 7508/540,1674/7757

Given numbers are 7508/540,1674/7757

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 7508,1674

Least Common Multiple of Numerators i.e. LCM of 7508,1674 is 6284196.

GCF of Denominators means GCF of 540,7757 as per the given fractions.

GCF of 540,7757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7508,1674

LCM of Fractions 7508/540,1674/7757 is 6284196

2 7508, 1674
3754, 837

∴ So the LCM of the given numbers is 2 x 3754 x 837 = 6284196

Least Common Multiple of 7508,1674 with GCF Formula

Least Common Multiple of 7508,1674 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 7508,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7508,1674) = 2

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

GCF(7508,1674) x common factors =2 x 1 = 2

LCM(7508,1674) = ( 7508 × 1674 ) / 2

LCM(7508,1674) = 12568392 / 2

LCM(7508,1674) = 6284196


Lets's calculate GCF of 540,7757

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6284196/1

Therefore the LCM of Fractions 7508/540,1674/7757 is 6284196

Greatest Common Factor of 540,7757 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,7757 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 7757

List of positive integer factors of 7757 that divides 7757 without a remainder.

1,7757

Greatest Common Factor

We found the factors 540,7757 . The biggest common factor number is the GCF number.
So the greatest common factor 540,7757 is 1.


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 7508/540, 1674/7757

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 7508/540, 1674/7757?

Answer: LCM of Numerators as per given numbers 7508/540, 1674/7757 is

LCM of Numerators i.e. for 7508,1674 is 6284196

GCF of denominators i.e. for 540,7757 is 1.

Thus, LCM of Fractions is 6284196.Finally, LCM of Fractions for 7508/540, 1674/7757 is 6284196.