Least Common Multiple of 79/152, 488/674, 898/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/152, 488/674, 898/958 quickly i.e. 8654924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/152, 488/674, 898/958 is 8654924.

LCM(79/152, 488/674, 898/958) = 8654924

LCM of 79/152, 488/674, 898/958

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 79/152,488/674,898/958

Given numbers are 79/152,488/674,898/958

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 79,488,898

Least Common Multiple of Numerators i.e. LCM of 79,488,898 is 17309848.

GCF of Denominators means GCF of 152,674,958 as per the given fractions.

GCF of 152,674,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,488,898

LCM of Fractions 79/152,488/674,898/958 is 8654924

2 79, 488, 898
79, 244, 449

∴ So the LCM of the given numbers is 2 x 79 x 244 x 449 = 17309848

Least Common Multiple of 79,488,898 with GCF Formula

Least Common Multiple of 79,488,898 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 79,488,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,488,898) = 1

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

GCF(79,488,898) x common factors =1 x 2 = 2

LCM(79,488,898) = ( 79 × 488 × 898 ) / 2

LCM(79,488,898) = 34619696 / 2

LCM(79,488,898) = 17309848


Lets's calculate GCF of 152,674,958

2 152, 674, 958
76, 337, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17309848/2

Therefore the LCM of Fractions 79/152,488/674,898/958 is 8654924

Greatest Common Factor of 152,674,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,674,958 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 152,674,958 . The biggest common factor number is the GCF number.
So the greatest common factor 152,674,958 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/152, 488/674, 898/958

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 79/152, 488/674, 898/958?

Answer: LCM of Numerators as per given numbers 79/152, 488/674, 898/958 is

LCM of Numerators i.e. for 79,488,898 is 17309848

GCF of denominators i.e. for 152,674,958 is 2.

Thus, LCM of Fractions is 8654924.Finally, LCM of Fractions for 79/152, 488/674, 898/958 is 8654924.