Least Common Multiple of 96/481, 974/388, 689/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/481, 974/388, 689/924 quickly i.e. 32212128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/481, 974/388, 689/924 is 32212128.

LCM(96/481, 974/388, 689/924) = 32212128

LCM of 96/481, 974/388, 689/924

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 96/481,974/388,689/924

Given numbers are 96/481,974/388,689/924

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 96,974,689

Least Common Multiple of Numerators i.e. LCM of 96,974,689 is 32212128.

GCF of Denominators means GCF of 481,388,924 as per the given fractions.

GCF of 481,388,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,974,689

LCM of Fractions 96/481,974/388,689/924 is 32212128

2 96, 974, 689
48, 487, 689

∴ So the LCM of the given numbers is 2 x 48 x 487 x 689 = 32212128

Least Common Multiple of 96,974,689 with GCF Formula

Least Common Multiple of 96,974,689 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 96,974,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,974,689) = 1

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

GCF(96,974,689) x common factors =1 x 2 = 2

LCM(96,974,689) = ( 96 × 974 × 689 ) / 2

LCM(96,974,689) = 64424256 / 2

LCM(96,974,689) = 32212128


Lets's calculate GCF of 481,388,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32212128/1

Therefore the LCM of Fractions 96/481,974/388,689/924 is 32212128

Greatest Common Factor of 481,388,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,388,924 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 481,388,924 . The biggest common factor number is the GCF number.
So the greatest common factor 481,388,924 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 96/481, 974/388, 689/924

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 96/481, 974/388, 689/924?

Answer: LCM of Numerators as per given numbers 96/481, 974/388, 689/924 is

LCM of Numerators i.e. for 96,974,689 is 32212128

GCF of denominators i.e. for 481,388,924 is 1.

Thus, LCM of Fractions is 32212128.Finally, LCM of Fractions for 96/481, 974/388, 689/924 is 32212128.