Least Common Multiple of 920/97, 176/49, 192/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/97, 176/49, 192/972 quickly i.e. 242880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/97, 176/49, 192/972 is 242880.

LCM(920/97, 176/49, 192/972) = 242880

LCM of 920/97, 176/49, 192/972

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 920/97,176/49,192/972

Given numbers are 920/97,176/49,192/972

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 920,176,192

Least Common Multiple of Numerators i.e. LCM of 920,176,192 is 242880.

GCF of Denominators means GCF of 97,49,972 as per the given fractions.

GCF of 97,49,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,176,192

LCM of Fractions 920/97,176/49,192/972 is 242880

2 920, 176, 192
2 460, 88, 96
2 230, 44, 48
2 115, 22, 24
115, 11, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 115 x 11 x 12 = 242880

Least Common Multiple of 920,176,192 with GCF Formula

Least Common Multiple of 920,176,192 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 920,176,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,176,192) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(920,176,192) x common factors =8 x 16 = 128

LCM(920,176,192) = ( 920 × 176 × 192 ) / 128

LCM(920,176,192) = 31088640 / 128

LCM(920,176,192) = 242880


Lets's calculate GCF of 97,49,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242880/1

Therefore the LCM of Fractions 920/97,176/49,192/972 is 242880

Greatest Common Factor of 97,49,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,49,972 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 97,49,972 . The biggest common factor number is the GCF number.
So the greatest common factor 97,49,972 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 920/97, 176/49, 192/972

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 920/97, 176/49, 192/972?

Answer: LCM of Numerators as per given numbers 920/97, 176/49, 192/972 is

LCM of Numerators i.e. for 920,176,192 is 242880

GCF of denominators i.e. for 97,49,972 is 1.

Thus, LCM of Fractions is 242880.Finally, LCM of Fractions for 920/97, 176/49, 192/972 is 242880.