Least Common Multiple of 7649/758, 5142/8451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7649/758, 5142/8451 quickly i.e. 39331158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7649/758, 5142/8451 is 39331158.

LCM(7649/758, 5142/8451) = 39331158

LCM of 7649/758, 5142/8451

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 7649/758,5142/8451

Given numbers are 7649/758,5142/8451

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 7649,5142

Least Common Multiple of Numerators i.e. LCM of 7649,5142 is 39331158.

GCF of Denominators means GCF of 758,8451 as per the given fractions.

GCF of 758,8451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7649,5142

LCM of Fractions 7649/758,5142/8451 is 39331158

Given numbers has no common factors except 1. So, there LCM is their product i.e 39331158

Least Common Multiple of 7649,5142 with GCF Formula

Least Common Multiple of 7649,5142 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 7649,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7649,5142) = 1

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

GCF(7649,5142) x common factors =1 x 1 = 1

LCM(7649,5142) = ( 7649 × 5142 ) / 1

LCM(7649,5142) = 39331158 / 1

LCM(7649,5142) = 39331158


Lets's calculate GCF of 758,8451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39331158/1

Therefore the LCM of Fractions 7649/758,5142/8451 is 39331158

Greatest Common Factor of 758,8451 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,8451 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 8451

List of positive integer factors of 8451 that divides 8451 without a remainder.

1,3,9,27,313,939,2817,8451

Greatest Common Factor

We found the factors 758,8451 . The biggest common factor number is the GCF number.
So the greatest common factor 758,8451 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 7649/758, 5142/8451

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 7649/758, 5142/8451?

Answer: LCM of Numerators as per given numbers 7649/758, 5142/8451 is

LCM of Numerators i.e. for 7649,5142 is 39331158

GCF of denominators i.e. for 758,8451 is 1.

Thus, LCM of Fractions is 39331158.Finally, LCM of Fractions for 7649/758, 5142/8451 is 39331158.