Least Common Multiple of 974/289, 507/932, 340/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/289, 507/932, 340/277 quickly i.e. 83949060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/289, 507/932, 340/277 is 83949060.

LCM(974/289, 507/932, 340/277) = 83949060

LCM of 974/289, 507/932, 340/277

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 974/289,507/932,340/277

Given numbers are 974/289,507/932,340/277

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 974,507,340

Least Common Multiple of Numerators i.e. LCM of 974,507,340 is 83949060.

GCF of Denominators means GCF of 289,932,277 as per the given fractions.

GCF of 289,932,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,507,340

LCM of Fractions 974/289,507/932,340/277 is 83949060

2 974, 507, 340
487, 507, 170

∴ So the LCM of the given numbers is 2 x 487 x 507 x 170 = 83949060

Least Common Multiple of 974,507,340 with GCF Formula

Least Common Multiple of 974,507,340 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 974,507,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,507,340) = 1

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

GCF(974,507,340) x common factors =1 x 2 = 2

LCM(974,507,340) = ( 974 × 507 × 340 ) / 2

LCM(974,507,340) = 167898120 / 2

LCM(974,507,340) = 83949060


Lets's calculate GCF of 289,932,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83949060/1

Therefore the LCM of Fractions 974/289,507/932,340/277 is 83949060

Greatest Common Factor of 289,932,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,932,277 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 289,932,277 . The biggest common factor number is the GCF number.
So the greatest common factor 289,932,277 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 974/289, 507/932, 340/277

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 974/289, 507/932, 340/277?

Answer: LCM of Numerators as per given numbers 974/289, 507/932, 340/277 is

LCM of Numerators i.e. for 974,507,340 is 83949060

GCF of denominators i.e. for 289,932,277 is 1.

Thus, LCM of Fractions is 83949060.Finally, LCM of Fractions for 974/289, 507/932, 340/277 is 83949060.