Least Common Multiple of 972/645, 142/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/645, 142/890 quickly i.e. 69012/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/645, 142/890 is 69012/5.

LCM(972/645, 142/890) = 69012/5

LCM of 972/645, 142/890

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 972/645,142/890

Given numbers are 972/645,142/890

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 972,142

Least Common Multiple of Numerators i.e. LCM of 972,142 is 69012.

GCF of Denominators means GCF of 645,890 as per the given fractions.

GCF of 645,890 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,142

LCM of Fractions 972/645,142/890 is 69012/5

2 972, 142
486, 71

∴ So the LCM of the given numbers is 2 x 486 x 71 = 69012

Least Common Multiple of 972,142 with GCF Formula

Least Common Multiple of 972,142 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 972,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,142) = 2

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

GCF(972,142) x common factors =2 x 1 = 2

LCM(972,142) = ( 972 × 142 ) / 2

LCM(972,142) = 138024 / 2

LCM(972,142) = 69012


Lets's calculate GCF of 645,890

5 645, 890
129, 178

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69012/5

Therefore the LCM of Fractions 972/645,142/890 is 69012/5

Greatest Common Factor of 645,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,890 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 645,890 . The biggest common factor number is the GCF number.
So the greatest common factor 645,890 is 5.


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 972/645, 142/890

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 972/645, 142/890?

Answer: LCM of Numerators as per given numbers 972/645, 142/890 is

LCM of Numerators i.e. for 972,142 is 69012

GCF of denominators i.e. for 645,890 is 5.

Thus, LCM of Fractions is 69012/5.Finally, LCM of Fractions for 972/645, 142/890 is 69012/5.