Least Common Multiple of 872/97, 176/1096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/97, 176/1096 quickly i.e. 19184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/97, 176/1096 is 19184.

LCM(872/97, 176/1096) = 19184

LCM of 872/97, 176/1096

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 872/97,176/1096

Given numbers are 872/97,176/1096

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 872,176

Least Common Multiple of Numerators i.e. LCM of 872,176 is 19184.

GCF of Denominators means GCF of 97,1096 as per the given fractions.

GCF of 97,1096 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,176

LCM of Fractions 872/97,176/1096 is 19184

2 872, 176
2 436, 88
2 218, 44
109, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 22 = 19184

Least Common Multiple of 872,176 with GCF Formula

Least Common Multiple of 872,176 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 872,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,176) = 8

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

GCF(872,176) x common factors =8 x 1 = 8

LCM(872,176) = ( 872 × 176 ) / 8

LCM(872,176) = 153472 / 8

LCM(872,176) = 19184


Lets's calculate GCF of 97,1096

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19184/1

Therefore the LCM of Fractions 872/97,176/1096 is 19184

Greatest Common Factor of 97,1096 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,1096 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 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1,2,4,8,137,274,548,1096

Greatest Common Factor

We found the factors 97,1096 . The biggest common factor number is the GCF number.
So the greatest common factor 97,1096 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 872/97, 176/1096

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 872/97, 176/1096?

Answer: LCM of Numerators as per given numbers 872/97, 176/1096 is

LCM of Numerators i.e. for 872,176 is 19184

GCF of denominators i.e. for 97,1096 is 1.

Thus, LCM of Fractions is 19184.Finally, LCM of Fractions for 872/97, 176/1096 is 19184.