Least Common Multiple of 42/951, 52/560, 884/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/951, 52/560, 884/107 quickly i.e. 18564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/951, 52/560, 884/107 is 18564.

LCM(42/951, 52/560, 884/107) = 18564

LCM of 42/951, 52/560, 884/107

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 42/951,52/560,884/107

Given numbers are 42/951,52/560,884/107

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 42,52,884

Least Common Multiple of Numerators i.e. LCM of 42,52,884 is 18564.

GCF of Denominators means GCF of 951,560,107 as per the given fractions.

GCF of 951,560,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,52,884

LCM of Fractions 42/951,52/560,884/107 is 18564

2 42, 52, 884
2 21, 26, 442
13 21, 13, 221
21, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 13 x 21 x 1 x 17 = 18564

Least Common Multiple of 42,52,884 with GCF Formula

Least Common Multiple of 42,52,884 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 42,52,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,52,884) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(42,52,884) x common factors =2 x 52 = 104

LCM(42,52,884) = ( 42 × 52 × 884 ) / 104

LCM(42,52,884) = 1930656 / 104

LCM(42,52,884) = 18564


Lets's calculate GCF of 951,560,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18564/1

Therefore the LCM of Fractions 42/951,52/560,884/107 is 18564

Greatest Common Factor of 951,560,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,560,107 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 951,560,107 . The biggest common factor number is the GCF number.
So the greatest common factor 951,560,107 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 42/951, 52/560, 884/107

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 42/951, 52/560, 884/107?

Answer: LCM of Numerators as per given numbers 42/951, 52/560, 884/107 is

LCM of Numerators i.e. for 42,52,884 is 18564

GCF of denominators i.e. for 951,560,107 is 1.

Thus, LCM of Fractions is 18564.Finally, LCM of Fractions for 42/951, 52/560, 884/107 is 18564.