Least Common Multiple of 922/34, 972/76, 679/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 922/34, 972/76, 679/24 quickly i.e. 152127234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/34, 972/76, 679/24 is 152127234.

LCM(922/34, 972/76, 679/24) = 152127234

LCM of 922/34, 972/76, 679/24

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 922/34,972/76,679/24

Given numbers are 922/34,972/76,679/24

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 922,972,679

Least Common Multiple of Numerators i.e. LCM of 922,972,679 is 304254468.

GCF of Denominators means GCF of 34,76,24 as per the given fractions.

GCF of 34,76,24 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,972,679

LCM of Fractions 922/34,972/76,679/24 is 152127234

2 922, 972, 679
461, 486, 679

∴ So the LCM of the given numbers is 2 x 461 x 486 x 679 = 304254468

Least Common Multiple of 922,972,679 with GCF Formula

Least Common Multiple of 922,972,679 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 922,972,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,972,679) = 1

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

GCF(922,972,679) x common factors =1 x 2 = 2

LCM(922,972,679) = ( 922 × 972 × 679 ) / 2

LCM(922,972,679) = 608508936 / 2

LCM(922,972,679) = 304254468


Lets's calculate GCF of 34,76,24

2 34, 76, 24
17, 38, 12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304254468/2

Therefore the LCM of Fractions 922/34,972/76,679/24 is 152127234

Greatest Common Factor of 34,76,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,76,24 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 34,76,24 . The biggest common factor number is the GCF number.
So the greatest common factor 34,76,24 is 2.


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 922/34, 972/76, 679/24

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 922/34, 972/76, 679/24?

Answer: LCM of Numerators as per given numbers 922/34, 972/76, 679/24 is

LCM of Numerators i.e. for 922,972,679 is 304254468

GCF of denominators i.e. for 34,76,24 is 2.

Thus, LCM of Fractions is 152127234.Finally, LCM of Fractions for 922/34, 972/76, 679/24 is 152127234.