Least Common Multiple of 22/372, 12/357, 486/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/372, 12/357, 486/788 quickly i.e. 10692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/372, 12/357, 486/788 is 10692.

LCM(22/372, 12/357, 486/788) = 10692

LCM of 22/372, 12/357, 486/788

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 22/372,12/357,486/788

Given numbers are 22/372,12/357,486/788

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 22,12,486

Least Common Multiple of Numerators i.e. LCM of 22,12,486 is 10692.

GCF of Denominators means GCF of 372,357,788 as per the given fractions.

GCF of 372,357,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,12,486

LCM of Fractions 22/372,12/357,486/788 is 10692

2 22, 12, 486
3 11, 6, 243
11, 2, 81

∴ So the LCM of the given numbers is 2 x 3 x 11 x 2 x 81 = 10692

Least Common Multiple of 22,12,486 with GCF Formula

Least Common Multiple of 22,12,486 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 22,12,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,12,486) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(22,12,486) x common factors =2 x 6 = 12

LCM(22,12,486) = ( 22 × 12 × 486 ) / 12

LCM(22,12,486) = 128304 / 12

LCM(22,12,486) = 10692


Lets's calculate GCF of 372,357,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10692/1

Therefore the LCM of Fractions 22/372,12/357,486/788 is 10692

Greatest Common Factor of 372,357,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,357,788 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 372,357,788 . The biggest common factor number is the GCF number.
So the greatest common factor 372,357,788 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 22/372, 12/357, 486/788

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 22/372, 12/357, 486/788?

Answer: LCM of Numerators as per given numbers 22/372, 12/357, 486/788 is

LCM of Numerators i.e. for 22,12,486 is 10692

GCF of denominators i.e. for 372,357,788 is 1.

Thus, LCM of Fractions is 10692.Finally, LCM of Fractions for 22/372, 12/357, 486/788 is 10692.