Least Common Multiple of 5310/120, 7456/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5310/120, 7456/494 quickly i.e. 9897840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5310/120, 7456/494 is 9897840.

LCM(5310/120, 7456/494) = 9897840

LCM of 5310/120, 7456/494

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 5310/120,7456/494

Given numbers are 5310/120,7456/494

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 5310,7456

Least Common Multiple of Numerators i.e. LCM of 5310,7456 is 19795680.

GCF of Denominators means GCF of 120,494 as per the given fractions.

GCF of 120,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5310,7456

LCM of Fractions 5310/120,7456/494 is 9897840

2 5310, 7456
2655, 3728

∴ So the LCM of the given numbers is 2 x 2655 x 3728 = 19795680

Least Common Multiple of 5310,7456 with GCF Formula

Least Common Multiple of 5310,7456 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 5310,7456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5310,7456) = 2

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

GCF(5310,7456) x common factors =2 x 1 = 2

LCM(5310,7456) = ( 5310 × 7456 ) / 2

LCM(5310,7456) = 39591360 / 2

LCM(5310,7456) = 19795680


Lets's calculate GCF of 120,494

2 120, 494
60, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19795680/2

Therefore the LCM of Fractions 5310/120,7456/494 is 9897840

Greatest Common Factor of 120,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,494 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 120,494 . The biggest common factor number is the GCF number.
So the greatest common factor 120,494 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 5310/120, 7456/494

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 5310/120, 7456/494?

Answer: LCM of Numerators as per given numbers 5310/120, 7456/494 is

LCM of Numerators i.e. for 5310,7456 is 19795680

GCF of denominators i.e. for 120,494 is 2.

Thus, LCM of Fractions is 9897840.Finally, LCM of Fractions for 5310/120, 7456/494 is 9897840.