Least Common Multiple of 29/828, 356/255, 963/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/828, 356/255, 963/684 quickly i.e. 3314004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/828, 356/255, 963/684 is 3314004.

LCM(29/828, 356/255, 963/684) = 3314004

LCM of 29/828, 356/255, 963/684

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 29/828,356/255,963/684

Given numbers are 29/828,356/255,963/684

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 29,356,963

Least Common Multiple of Numerators i.e. LCM of 29,356,963 is 9942012.

GCF of Denominators means GCF of 828,255,684 as per the given fractions.

GCF of 828,255,684 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,356,963

LCM of Fractions 29/828,356/255,963/684 is 3314004

Given numbers has no common factors except 1. So, there LCM is their product i.e 9942012

Least Common Multiple of 29,356,963 with GCF Formula

Least Common Multiple of 29,356,963 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 29,356,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,356,963) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,356,963) x common factors =1 x 1 = 1

LCM(29,356,963) = ( 29 × 356 × 963 ) / 1

LCM(29,356,963) = 9942012 / 1

LCM(29,356,963) = 9942012


Lets's calculate GCF of 828,255,684

3 828, 255, 684
276, 85, 228

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9942012/3

Therefore the LCM of Fractions 29/828,356/255,963/684 is 3314004

Greatest Common Factor of 828,255,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,255,684 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 828,255,684 . The biggest common factor number is the GCF number.
So the greatest common factor 828,255,684 is 3.


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 29/828, 356/255, 963/684

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 29/828, 356/255, 963/684?

Answer: LCM of Numerators as per given numbers 29/828, 356/255, 963/684 is

LCM of Numerators i.e. for 29,356,963 is 9942012

GCF of denominators i.e. for 828,255,684 is 3.

Thus, LCM of Fractions is 3314004.Finally, LCM of Fractions for 29/828, 356/255, 963/684 is 3314004.