Least Common Multiple of 357/48, 731/7645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/48, 731/7645 quickly i.e. 15351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/48, 731/7645 is 15351.

LCM(357/48, 731/7645) = 15351

LCM of 357/48, 731/7645

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 357/48,731/7645

Given numbers are 357/48,731/7645

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 357,731

Least Common Multiple of Numerators i.e. LCM of 357,731 is 15351.

GCF of Denominators means GCF of 48,7645 as per the given fractions.

GCF of 48,7645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,731

LCM of Fractions 357/48,731/7645 is 15351

17 357, 731
21, 43

∴ So the LCM of the given numbers is 17 x 21 x 43 = 15351

Least Common Multiple of 357,731 with GCF Formula

Least Common Multiple of 357,731 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 357,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,731) = 17

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

GCF(357,731) x common factors =17 x 1 = 17

LCM(357,731) = ( 357 × 731 ) / 17

LCM(357,731) = 260967 / 17

LCM(357,731) = 15351


Lets's calculate GCF of 48,7645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15351/1

Therefore the LCM of Fractions 357/48,731/7645 is 15351

Greatest Common Factor of 48,7645 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,7645 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 7645

List of positive integer factors of 7645 that divides 7645 without a remainder.

1,5,11,55,139,695,1529,7645

Greatest Common Factor

We found the factors 48,7645 . The biggest common factor number is the GCF number.
So the greatest common factor 48,7645 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 357/48, 731/7645

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 357/48, 731/7645?

Answer: LCM of Numerators as per given numbers 357/48, 731/7645 is

LCM of Numerators i.e. for 357,731 is 15351

GCF of denominators i.e. for 48,7645 is 1.

Thus, LCM of Fractions is 15351.Finally, LCM of Fractions for 357/48, 731/7645 is 15351.