Least Common Multiple of 926/25, 764/68, 972/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 926/25, 764/68, 972/489 quickly i.e. 85956876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/25, 764/68, 972/489 is 85956876.

LCM(926/25, 764/68, 972/489) = 85956876

LCM of 926/25, 764/68, 972/489

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 926/25,764/68,972/489

Given numbers are 926/25,764/68,972/489

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 926,764,972

Least Common Multiple of Numerators i.e. LCM of 926,764,972 is 85956876.

GCF of Denominators means GCF of 25,68,489 as per the given fractions.

GCF of 25,68,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,764,972

LCM of Fractions 926/25,764/68,972/489 is 85956876

2 926, 764, 972
2 463, 382, 486
463, 191, 243

∴ So the LCM of the given numbers is 2 x 2 x 463 x 191 x 243 = 85956876

Least Common Multiple of 926,764,972 with GCF Formula

Least Common Multiple of 926,764,972 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 926,764,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,764,972) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(926,764,972) x common factors =2 x 4 = 8

LCM(926,764,972) = ( 926 × 764 × 972 ) / 8

LCM(926,764,972) = 687655008 / 8

LCM(926,764,972) = 85956876


Lets's calculate GCF of 25,68,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85956876/1

Therefore the LCM of Fractions 926/25,764/68,972/489 is 85956876

Greatest Common Factor of 25,68,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,68,489 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 25,68,489 . The biggest common factor number is the GCF number.
So the greatest common factor 25,68,489 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 926/25, 764/68, 972/489

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 926/25, 764/68, 972/489?

Answer: LCM of Numerators as per given numbers 926/25, 764/68, 972/489 is

LCM of Numerators i.e. for 926,764,972 is 85956876

GCF of denominators i.e. for 25,68,489 is 1.

Thus, LCM of Fractions is 85956876.Finally, LCM of Fractions for 926/25, 764/68, 972/489 is 85956876.