Least Common Multiple of 929/968, 902/360, 822/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 929/968, 902/360, 822/541 quickly i.e. 344400738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 929/968, 902/360, 822/541 is 344400738.

LCM(929/968, 902/360, 822/541) = 344400738

LCM of 929/968, 902/360, 822/541

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 929/968,902/360,822/541

Given numbers are 929/968,902/360,822/541

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 929,902,822

Least Common Multiple of Numerators i.e. LCM of 929,902,822 is 344400738.

GCF of Denominators means GCF of 968,360,541 as per the given fractions.

GCF of 968,360,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 929,902,822

LCM of Fractions 929/968,902/360,822/541 is 344400738

2 929, 902, 822
929, 451, 411

∴ So the LCM of the given numbers is 2 x 929 x 451 x 411 = 344400738

Least Common Multiple of 929,902,822 with GCF Formula

Least Common Multiple of 929,902,822 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 929,902,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,902,822) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(929,902,822) x common factors =1 x 2 = 2

LCM(929,902,822) = ( 929 × 902 × 822 ) / 2

LCM(929,902,822) = 688801476 / 2

LCM(929,902,822) = 344400738


Lets's calculate GCF of 968,360,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344400738/1

Therefore the LCM of Fractions 929/968,902/360,822/541 is 344400738

Greatest Common Factor of 968,360,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,360,541 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 968,360,541 . The biggest common factor number is the GCF number.
So the greatest common factor 968,360,541 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 929/968, 902/360, 822/541

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 929/968, 902/360, 822/541?

Answer: LCM of Numerators as per given numbers 929/968, 902/360, 822/541 is

LCM of Numerators i.e. for 929,902,822 is 344400738

GCF of denominators i.e. for 968,360,541 is 1.

Thus, LCM of Fractions is 344400738.Finally, LCM of Fractions for 929/968, 902/360, 822/541 is 344400738.