Least Common Multiple of 22/75, 546/31, 858/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/75, 546/31, 858/518 quickly i.e. 6006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/75, 546/31, 858/518 is 6006.

LCM(22/75, 546/31, 858/518) = 6006

LCM of 22/75, 546/31, 858/518

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 22/75,546/31,858/518

Given numbers are 22/75,546/31,858/518

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 22,546,858

Least Common Multiple of Numerators i.e. LCM of 22,546,858 is 6006.

GCF of Denominators means GCF of 75,31,518 as per the given fractions.

GCF of 75,31,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,546,858

LCM of Fractions 22/75,546/31,858/518 is 6006

2 22, 546, 858
3 11, 273, 429
11 11, 91, 143
13 1, 91, 13
1, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 1 x 7 x 1 = 6006

Least Common Multiple of 22,546,858 with GCF Formula

Least Common Multiple of 22,546,858 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 22,546,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,546,858) = 2

common factors(in case of two or more numbers have common factors) = 858

GCF(22,546,858) x common factors =2 x 858 = 1716

LCM(22,546,858) = ( 22 × 546 × 858 ) / 1716

LCM(22,546,858) = 10306296 / 1716

LCM(22,546,858) = 6006


Lets's calculate GCF of 75,31,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6006/1

Therefore the LCM of Fractions 22/75,546/31,858/518 is 6006

Greatest Common Factor of 75,31,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,31,518 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 75,31,518 . The biggest common factor number is the GCF number.
So the greatest common factor 75,31,518 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 22/75, 546/31, 858/518

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 22/75, 546/31, 858/518?

Answer: LCM of Numerators as per given numbers 22/75, 546/31, 858/518 is

LCM of Numerators i.e. for 22,546,858 is 6006

GCF of denominators i.e. for 75,31,518 is 1.

Thus, LCM of Fractions is 6006.Finally, LCM of Fractions for 22/75, 546/31, 858/518 is 6006.