Least Common Multiple of 85/47, 387/44, 276/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/47, 387/44, 276/323 quickly i.e. 3026340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/47, 387/44, 276/323 is 3026340.

LCM(85/47, 387/44, 276/323) = 3026340

LCM of 85/47, 387/44, 276/323

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 85/47,387/44,276/323

Given numbers are 85/47,387/44,276/323

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 85,387,276

Least Common Multiple of Numerators i.e. LCM of 85,387,276 is 3026340.

GCF of Denominators means GCF of 47,44,323 as per the given fractions.

GCF of 47,44,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,387,276

LCM of Fractions 85/47,387/44,276/323 is 3026340

3 85, 387, 276
85, 129, 92

∴ So the LCM of the given numbers is 3 x 85 x 129 x 92 = 3026340

Least Common Multiple of 85,387,276 with GCF Formula

Least Common Multiple of 85,387,276 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 85,387,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,387,276) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(85,387,276) x common factors =1 x 3 = 3

LCM(85,387,276) = ( 85 × 387 × 276 ) / 3

LCM(85,387,276) = 9079020 / 3

LCM(85,387,276) = 3026340


Lets's calculate GCF of 47,44,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3026340/1

Therefore the LCM of Fractions 85/47,387/44,276/323 is 3026340

Greatest Common Factor of 47,44,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,44,323 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 47,44,323 . The biggest common factor number is the GCF number.
So the greatest common factor 47,44,323 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 85/47, 387/44, 276/323

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 85/47, 387/44, 276/323?

Answer: LCM of Numerators as per given numbers 85/47, 387/44, 276/323 is

LCM of Numerators i.e. for 85,387,276 is 3026340

GCF of denominators i.e. for 47,44,323 is 1.

Thus, LCM of Fractions is 3026340.Finally, LCM of Fractions for 85/47, 387/44, 276/323 is 3026340.