Least Common Multiple of 72/676, 637/360, 836/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/676, 637/360, 836/892 quickly i.e. 2396394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/676, 637/360, 836/892 is 2396394.

LCM(72/676, 637/360, 836/892) = 2396394

LCM of 72/676, 637/360, 836/892

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 72/676,637/360,836/892

Given numbers are 72/676,637/360,836/892

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 72,637,836

Least Common Multiple of Numerators i.e. LCM of 72,637,836 is 9585576.

GCF of Denominators means GCF of 676,360,892 as per the given fractions.

GCF of 676,360,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,637,836

LCM of Fractions 72/676,637/360,836/892 is 2396394

2 72, 637, 836
2 36, 637, 418
18, 637, 209

∴ So the LCM of the given numbers is 2 x 2 x 18 x 637 x 209 = 9585576

Least Common Multiple of 72,637,836 with GCF Formula

Least Common Multiple of 72,637,836 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 72,637,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,637,836) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(72,637,836) x common factors =1 x 4 = 4

LCM(72,637,836) = ( 72 × 637 × 836 ) / 4

LCM(72,637,836) = 38342304 / 4

LCM(72,637,836) = 9585576


Lets's calculate GCF of 676,360,892

2 676, 360, 892
2 338, 180, 446
169, 90, 223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9585576/4

Therefore the LCM of Fractions 72/676,637/360,836/892 is 2396394

Greatest Common Factor of 676,360,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,360,892 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

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 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 676,360,892 . The biggest common factor number is the GCF number.
So the greatest common factor 676,360,892 is 4.


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 72/676, 637/360, 836/892

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 72/676, 637/360, 836/892?

Answer: LCM of Numerators as per given numbers 72/676, 637/360, 836/892 is

LCM of Numerators i.e. for 72,637,836 is 9585576

GCF of denominators i.e. for 676,360,892 is 4.

Thus, LCM of Fractions is 2396394.Finally, LCM of Fractions for 72/676, 637/360, 836/892 is 2396394.