Least Common Multiple of 488/460, 221/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/460, 221/956 quickly i.e. 26962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/460, 221/956 is 26962.

LCM(488/460, 221/956) = 26962

LCM of 488/460, 221/956

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 488/460,221/956

Given numbers are 488/460,221/956

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 488,221

Least Common Multiple of Numerators i.e. LCM of 488,221 is 107848.

GCF of Denominators means GCF of 460,956 as per the given fractions.

GCF of 460,956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,221

LCM of Fractions 488/460,221/956 is 26962

Given numbers has no common factors except 1. So, there LCM is their product i.e 107848

Least Common Multiple of 488,221 with GCF Formula

Least Common Multiple of 488,221 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 488,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,221) = 1

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

GCF(488,221) x common factors =1 x 1 = 1

LCM(488,221) = ( 488 × 221 ) / 1

LCM(488,221) = 107848 / 1

LCM(488,221) = 107848


Lets's calculate GCF of 460,956

2 460, 956
2 230, 478
115, 239

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107848/4

Therefore the LCM of Fractions 488/460,221/956 is 26962

Greatest Common Factor of 460,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,956 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 460,956 . The biggest common factor number is the GCF number.
So the greatest common factor 460,956 is 4.


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 488/460, 221/956

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 488/460, 221/956?

Answer: LCM of Numerators as per given numbers 488/460, 221/956 is

LCM of Numerators i.e. for 488,221 is 107848

GCF of denominators i.e. for 460,956 is 4.

Thus, LCM of Fractions is 26962.Finally, LCM of Fractions for 488/460, 221/956 is 26962.