Least Common Multiple of 974/10, 385/72, 908/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/10, 385/72, 908/596 quickly i.e. 85122730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/10, 385/72, 908/596 is 85122730.

LCM(974/10, 385/72, 908/596) = 85122730

LCM of 974/10, 385/72, 908/596

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 974/10,385/72,908/596

Given numbers are 974/10,385/72,908/596

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 974,385,908

Least Common Multiple of Numerators i.e. LCM of 974,385,908 is 170245460.

GCF of Denominators means GCF of 10,72,596 as per the given fractions.

GCF of 10,72,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,385,908

LCM of Fractions 974/10,385/72,908/596 is 85122730

2 974, 385, 908
487, 385, 454

∴ So the LCM of the given numbers is 2 x 487 x 385 x 454 = 170245460

Least Common Multiple of 974,385,908 with GCF Formula

Least Common Multiple of 974,385,908 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 974,385,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,385,908) = 1

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

GCF(974,385,908) x common factors =1 x 2 = 2

LCM(974,385,908) = ( 974 × 385 × 908 ) / 2

LCM(974,385,908) = 340490920 / 2

LCM(974,385,908) = 170245460


Lets's calculate GCF of 10,72,596

2 10, 72, 596
5, 36, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170245460/2

Therefore the LCM of Fractions 974/10,385/72,908/596 is 85122730

Greatest Common Factor of 10,72,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,72,596 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 10,72,596 . The biggest common factor number is the GCF number.
So the greatest common factor 10,72,596 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 974/10, 385/72, 908/596

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 974/10, 385/72, 908/596?

Answer: LCM of Numerators as per given numbers 974/10, 385/72, 908/596 is

LCM of Numerators i.e. for 974,385,908 is 170245460

GCF of denominators i.e. for 10,72,596 is 2.

Thus, LCM of Fractions is 85122730.Finally, LCM of Fractions for 974/10, 385/72, 908/596 is 85122730.