Least Common Multiple of 232/10, 240/12, 957/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 232/10, 240/12, 957/298 quickly i.e. 38280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/10, 240/12, 957/298 is 38280.

LCM(232/10, 240/12, 957/298) = 38280

LCM of 232/10, 240/12, 957/298

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 232/10,240/12,957/298

Given numbers are 232/10,240/12,957/298

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 232,240,957

Least Common Multiple of Numerators i.e. LCM of 232,240,957 is 76560.

GCF of Denominators means GCF of 10,12,298 as per the given fractions.

GCF of 10,12,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,240,957

LCM of Fractions 232/10,240/12,957/298 is 38280

2 232, 240, 957
2 116, 120, 957
2 58, 60, 957
3 29, 30, 957
29 29, 10, 319
1, 10, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 1 x 10 x 11 = 76560

Least Common Multiple of 232,240,957 with GCF Formula

Least Common Multiple of 232,240,957 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 232,240,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,240,957) = 1

common factors(in case of two or more numbers have common factors) = 696

GCF(232,240,957) x common factors =1 x 696 = 696

LCM(232,240,957) = ( 232 × 240 × 957 ) / 696

LCM(232,240,957) = 53285760 / 696

LCM(232,240,957) = 76560


Lets's calculate GCF of 10,12,298

2 10, 12, 298
5, 6, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76560/2

Therefore the LCM of Fractions 232/10,240/12,957/298 is 38280

Greatest Common Factor of 10,12,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,12,298 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 10,12,298 . The biggest common factor number is the GCF number.
So the greatest common factor 10,12,298 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 232/10, 240/12, 957/298

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 232/10, 240/12, 957/298?

Answer: LCM of Numerators as per given numbers 232/10, 240/12, 957/298 is

LCM of Numerators i.e. for 232,240,957 is 76560

GCF of denominators i.e. for 10,12,298 is 2.

Thus, LCM of Fractions is 38280.Finally, LCM of Fractions for 232/10, 240/12, 957/298 is 38280.