Least Common Multiple of 828/378, 457/962, 846/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/378, 457/962, 846/291 quickly i.e. 17784612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/378, 457/962, 846/291 is 17784612.

LCM(828/378, 457/962, 846/291) = 17784612

LCM of 828/378, 457/962, 846/291

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 828/378,457/962,846/291

Given numbers are 828/378,457/962,846/291

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 828,457,846

Least Common Multiple of Numerators i.e. LCM of 828,457,846 is 17784612.

GCF of Denominators means GCF of 378,962,291 as per the given fractions.

GCF of 378,962,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,457,846

LCM of Fractions 828/378,457/962,846/291 is 17784612

2 828, 457, 846
3 414, 457, 423
3 138, 457, 141
46, 457, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 46 x 457 x 47 = 17784612

Least Common Multiple of 828,457,846 with GCF Formula

Least Common Multiple of 828,457,846 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 828,457,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,457,846) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(828,457,846) x common factors =1 x 18 = 18

LCM(828,457,846) = ( 828 × 457 × 846 ) / 18

LCM(828,457,846) = 320123016 / 18

LCM(828,457,846) = 17784612


Lets's calculate GCF of 378,962,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17784612/1

Therefore the LCM of Fractions 828/378,457/962,846/291 is 17784612

Greatest Common Factor of 378,962,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,962,291 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 378,962,291 . The biggest common factor number is the GCF number.
So the greatest common factor 378,962,291 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 828/378, 457/962, 846/291

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 828/378, 457/962, 846/291?

Answer: LCM of Numerators as per given numbers 828/378, 457/962, 846/291 is

LCM of Numerators i.e. for 828,457,846 is 17784612

GCF of denominators i.e. for 378,962,291 is 1.

Thus, LCM of Fractions is 17784612.Finally, LCM of Fractions for 828/378, 457/962, 846/291 is 17784612.