Least Common Multiple of 83/357, 864/320, 274/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/357, 864/320, 274/173 quickly i.e. 9824544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/357, 864/320, 274/173 is 9824544.

LCM(83/357, 864/320, 274/173) = 9824544

LCM of 83/357, 864/320, 274/173

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 83/357,864/320,274/173

Given numbers are 83/357,864/320,274/173

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 83,864,274

Least Common Multiple of Numerators i.e. LCM of 83,864,274 is 9824544.

GCF of Denominators means GCF of 357,320,173 as per the given fractions.

GCF of 357,320,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,864,274

LCM of Fractions 83/357,864/320,274/173 is 9824544

2 83, 864, 274
83, 432, 137

∴ So the LCM of the given numbers is 2 x 83 x 432 x 137 = 9824544

Least Common Multiple of 83,864,274 with GCF Formula

Least Common Multiple of 83,864,274 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 83,864,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,864,274) = 1

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

GCF(83,864,274) x common factors =1 x 2 = 2

LCM(83,864,274) = ( 83 × 864 × 274 ) / 2

LCM(83,864,274) = 19649088 / 2

LCM(83,864,274) = 9824544


Lets's calculate GCF of 357,320,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9824544/1

Therefore the LCM of Fractions 83/357,864/320,274/173 is 9824544

Greatest Common Factor of 357,320,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,320,173 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 357,320,173 . The biggest common factor number is the GCF number.
So the greatest common factor 357,320,173 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 83/357, 864/320, 274/173

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 83/357, 864/320, 274/173?

Answer: LCM of Numerators as per given numbers 83/357, 864/320, 274/173 is

LCM of Numerators i.e. for 83,864,274 is 9824544

GCF of denominators i.e. for 357,320,173 is 1.

Thus, LCM of Fractions is 9824544.Finally, LCM of Fractions for 83/357, 864/320, 274/173 is 9824544.