Least Common Multiple of 36/832, 648/270, 541/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/832, 648/270, 541/782 quickly i.e. 175284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/832, 648/270, 541/782 is 175284.

LCM(36/832, 648/270, 541/782) = 175284

LCM of 36/832, 648/270, 541/782

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 36/832,648/270,541/782

Given numbers are 36/832,648/270,541/782

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 36,648,541

Least Common Multiple of Numerators i.e. LCM of 36,648,541 is 350568.

GCF of Denominators means GCF of 832,270,782 as per the given fractions.

GCF of 832,270,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,648,541

LCM of Fractions 36/832,648/270,541/782 is 175284

2 36, 648, 541
2 18, 324, 541
3 9, 162, 541
3 3, 54, 541
1, 18, 541

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 18 x 541 = 350568

Least Common Multiple of 36,648,541 with GCF Formula

Least Common Multiple of 36,648,541 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 36,648,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,648,541) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(36,648,541) x common factors =1 x 36 = 36

LCM(36,648,541) = ( 36 × 648 × 541 ) / 36

LCM(36,648,541) = 12620448 / 36

LCM(36,648,541) = 350568


Lets's calculate GCF of 832,270,782

2 832, 270, 782
416, 135, 391

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350568/2

Therefore the LCM of Fractions 36/832,648/270,541/782 is 175284

Greatest Common Factor of 832,270,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,270,782 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 832,270,782 . The biggest common factor number is the GCF number.
So the greatest common factor 832,270,782 is 2.


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 36/832, 648/270, 541/782

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 36/832, 648/270, 541/782?

Answer: LCM of Numerators as per given numbers 36/832, 648/270, 541/782 is

LCM of Numerators i.e. for 36,648,541 is 350568

GCF of denominators i.e. for 832,270,782 is 2.

Thus, LCM of Fractions is 175284.Finally, LCM of Fractions for 36/832, 648/270, 541/782 is 175284.