Least Common Multiple of 39/875, 47/822, 708/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/875, 47/822, 708/318 quickly i.e. 432588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/875, 47/822, 708/318 is 432588.

LCM(39/875, 47/822, 708/318) = 432588

LCM of 39/875, 47/822, 708/318

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 39/875,47/822,708/318

Given numbers are 39/875,47/822,708/318

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 39,47,708

Least Common Multiple of Numerators i.e. LCM of 39,47,708 is 432588.

GCF of Denominators means GCF of 875,822,318 as per the given fractions.

GCF of 875,822,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,47,708

LCM of Fractions 39/875,47/822,708/318 is 432588

3 39, 47, 708
13, 47, 236

∴ So the LCM of the given numbers is 3 x 13 x 47 x 236 = 432588

Least Common Multiple of 39,47,708 with GCF Formula

Least Common Multiple of 39,47,708 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 39,47,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,47,708) = 1

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

GCF(39,47,708) x common factors =1 x 3 = 3

LCM(39,47,708) = ( 39 × 47 × 708 ) / 3

LCM(39,47,708) = 1297764 / 3

LCM(39,47,708) = 432588


Lets's calculate GCF of 875,822,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432588/1

Therefore the LCM of Fractions 39/875,47/822,708/318 is 432588

Greatest Common Factor of 875,822,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,822,318 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 875,822,318 . The biggest common factor number is the GCF number.
So the greatest common factor 875,822,318 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 39/875, 47/822, 708/318

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 39/875, 47/822, 708/318?

Answer: LCM of Numerators as per given numbers 39/875, 47/822, 708/318 is

LCM of Numerators i.e. for 39,47,708 is 432588

GCF of denominators i.e. for 875,822,318 is 1.

Thus, LCM of Fractions is 432588.Finally, LCM of Fractions for 39/875, 47/822, 708/318 is 432588.