Least Common Multiple of 221/48, 871/25, 860/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/48, 871/25, 860/956 quickly i.e. 12734020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/48, 871/25, 860/956 is 12734020.

LCM(221/48, 871/25, 860/956) = 12734020

LCM of 221/48, 871/25, 860/956

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 221/48,871/25,860/956

Given numbers are 221/48,871/25,860/956

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 221,871,860

Least Common Multiple of Numerators i.e. LCM of 221,871,860 is 12734020.

GCF of Denominators means GCF of 48,25,956 as per the given fractions.

GCF of 48,25,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,871,860

LCM of Fractions 221/48,871/25,860/956 is 12734020

13 221, 871, 860
17, 67, 860

∴ So the LCM of the given numbers is 13 x 17 x 67 x 860 = 12734020

Least Common Multiple of 221,871,860 with GCF Formula

Least Common Multiple of 221,871,860 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 221,871,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,871,860) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(221,871,860) x common factors =1 x 13 = 13

LCM(221,871,860) = ( 221 × 871 × 860 ) / 13

LCM(221,871,860) = 165542260 / 13

LCM(221,871,860) = 12734020


Lets's calculate GCF of 48,25,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12734020/1

Therefore the LCM of Fractions 221/48,871/25,860/956 is 12734020

Greatest Common Factor of 48,25,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,25,956 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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 48,25,956 . The biggest common factor number is the GCF number.
So the greatest common factor 48,25,956 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 221/48, 871/25, 860/956

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 221/48, 871/25, 860/956?

Answer: LCM of Numerators as per given numbers 221/48, 871/25, 860/956 is

LCM of Numerators i.e. for 221,871,860 is 12734020

GCF of denominators i.e. for 48,25,956 is 1.

Thus, LCM of Fractions is 12734020.Finally, LCM of Fractions for 221/48, 871/25, 860/956 is 12734020.