Least Common Multiple of 100/84, 415/22, 631/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/84, 415/22, 631/796 quickly i.e. 2618650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/84, 415/22, 631/796 is 2618650.

LCM(100/84, 415/22, 631/796) = 2618650

LCM of 100/84, 415/22, 631/796

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 100/84,415/22,631/796

Given numbers are 100/84,415/22,631/796

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 100,415,631

Least Common Multiple of Numerators i.e. LCM of 100,415,631 is 5237300.

GCF of Denominators means GCF of 84,22,796 as per the given fractions.

GCF of 84,22,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,415,631

LCM of Fractions 100/84,415/22,631/796 is 2618650

5 100, 415, 631
20, 83, 631

∴ So the LCM of the given numbers is 5 x 20 x 83 x 631 = 5237300

Least Common Multiple of 100,415,631 with GCF Formula

Least Common Multiple of 100,415,631 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 100,415,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,415,631) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(100,415,631) x common factors =1 x 5 = 5

LCM(100,415,631) = ( 100 × 415 × 631 ) / 5

LCM(100,415,631) = 26186500 / 5

LCM(100,415,631) = 5237300


Lets's calculate GCF of 84,22,796

2 84, 22, 796
42, 11, 398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5237300/2

Therefore the LCM of Fractions 100/84,415/22,631/796 is 2618650

Greatest Common Factor of 84,22,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,22,796 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 84,22,796 . The biggest common factor number is the GCF number.
So the greatest common factor 84,22,796 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 100/84, 415/22, 631/796

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 100/84, 415/22, 631/796?

Answer: LCM of Numerators as per given numbers 100/84, 415/22, 631/796 is

LCM of Numerators i.e. for 100,415,631 is 5237300

GCF of denominators i.e. for 84,22,796 is 2.

Thus, LCM of Fractions is 2618650.Finally, LCM of Fractions for 100/84, 415/22, 631/796 is 2618650.