Least Common Multiple of 262/87, 354/61, 828/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 262/87, 354/61, 828/39 quickly i.e. 6399612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 262/87, 354/61, 828/39 is 6399612.

LCM(262/87, 354/61, 828/39) = 6399612

LCM of 262/87, 354/61, 828/39

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 262/87,354/61,828/39

Given numbers are 262/87,354/61,828/39

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 262,354,828

Least Common Multiple of Numerators i.e. LCM of 262,354,828 is 6399612.

GCF of Denominators means GCF of 87,61,39 as per the given fractions.

GCF of 87,61,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 262,354,828

LCM of Fractions 262/87,354/61,828/39 is 6399612

2 262, 354, 828
3 131, 177, 414
131, 59, 138

∴ So the LCM of the given numbers is 2 x 3 x 131 x 59 x 138 = 6399612

Least Common Multiple of 262,354,828 with GCF Formula

Least Common Multiple of 262,354,828 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 262,354,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,354,828) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(262,354,828) x common factors =2 x 6 = 12

LCM(262,354,828) = ( 262 × 354 × 828 ) / 12

LCM(262,354,828) = 76795344 / 12

LCM(262,354,828) = 6399612


Lets's calculate GCF of 87,61,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6399612/1

Therefore the LCM of Fractions 262/87,354/61,828/39 is 6399612

Greatest Common Factor of 87,61,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,61,39 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 87,61,39 . The biggest common factor number is the GCF number.
So the greatest common factor 87,61,39 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 262/87, 354/61, 828/39

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 262/87, 354/61, 828/39?

Answer: LCM of Numerators as per given numbers 262/87, 354/61, 828/39 is

LCM of Numerators i.e. for 262,354,828 is 6399612

GCF of denominators i.e. for 87,61,39 is 1.

Thus, LCM of Fractions is 6399612.Finally, LCM of Fractions for 262/87, 354/61, 828/39 is 6399612.