Least Common Multiple of 970/480, 410/724, 827/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/480, 410/724, 827/141 quickly i.e. 32889790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/480, 410/724, 827/141 is 32889790.

LCM(970/480, 410/724, 827/141) = 32889790

LCM of 970/480, 410/724, 827/141

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 970/480,410/724,827/141

Given numbers are 970/480,410/724,827/141

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 970,410,827

Least Common Multiple of Numerators i.e. LCM of 970,410,827 is 32889790.

GCF of Denominators means GCF of 480,724,141 as per the given fractions.

GCF of 480,724,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,410,827

LCM of Fractions 970/480,410/724,827/141 is 32889790

2 970, 410, 827
5 485, 205, 827
97, 41, 827

∴ So the LCM of the given numbers is 2 x 5 x 97 x 41 x 827 = 32889790

Least Common Multiple of 970,410,827 with GCF Formula

Least Common Multiple of 970,410,827 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 970,410,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,410,827) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(970,410,827) x common factors =1 x 10 = 10

LCM(970,410,827) = ( 970 × 410 × 827 ) / 10

LCM(970,410,827) = 328897900 / 10

LCM(970,410,827) = 32889790


Lets's calculate GCF of 480,724,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32889790/1

Therefore the LCM of Fractions 970/480,410/724,827/141 is 32889790

Greatest Common Factor of 480,724,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,724,141 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 480,724,141 . The biggest common factor number is the GCF number.
So the greatest common factor 480,724,141 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 970/480, 410/724, 827/141

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 970/480, 410/724, 827/141?

Answer: LCM of Numerators as per given numbers 970/480, 410/724, 827/141 is

LCM of Numerators i.e. for 970,410,827 is 32889790

GCF of denominators i.e. for 480,724,141 is 1.

Thus, LCM of Fractions is 32889790.Finally, LCM of Fractions for 970/480, 410/724, 827/141 is 32889790.