Least Common Multiple of 24/96, 671/56, 166/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/96, 671/56, 166/824 quickly i.e. 167079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/96, 671/56, 166/824 is 167079.

LCM(24/96, 671/56, 166/824) = 167079

LCM of 24/96, 671/56, 166/824

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 24/96,671/56,166/824

Given numbers are 24/96,671/56,166/824

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 24,671,166

Least Common Multiple of Numerators i.e. LCM of 24,671,166 is 1336632.

GCF of Denominators means GCF of 96,56,824 as per the given fractions.

GCF of 96,56,824 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,671,166

LCM of Fractions 24/96,671/56,166/824 is 167079

2 24, 671, 166
12, 671, 83

∴ So the LCM of the given numbers is 2 x 12 x 671 x 83 = 1336632

Least Common Multiple of 24,671,166 with GCF Formula

Least Common Multiple of 24,671,166 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 24,671,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,671,166) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,671,166) x common factors =1 x 2 = 2

LCM(24,671,166) = ( 24 × 671 × 166 ) / 2

LCM(24,671,166) = 2673264 / 2

LCM(24,671,166) = 1336632


Lets's calculate GCF of 96,56,824

2 96, 56, 824
2 48, 28, 412
2 24, 14, 206
12, 7, 103

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1336632/8

Therefore the LCM of Fractions 24/96,671/56,166/824 is 167079

Greatest Common Factor of 96,56,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,56,824 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 96,56,824 . The biggest common factor number is the GCF number.
So the greatest common factor 96,56,824 is 8.


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 24/96, 671/56, 166/824

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 24/96, 671/56, 166/824?

Answer: LCM of Numerators as per given numbers 24/96, 671/56, 166/824 is

LCM of Numerators i.e. for 24,671,166 is 1336632

GCF of denominators i.e. for 96,56,824 is 8.

Thus, LCM of Fractions is 167079.Finally, LCM of Fractions for 24/96, 671/56, 166/824 is 167079.