Least Common Multiple of 37/561, 22/743, 621/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/561, 22/743, 621/556 quickly i.e. 505494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/561, 22/743, 621/556 is 505494.

LCM(37/561, 22/743, 621/556) = 505494

LCM of 37/561, 22/743, 621/556

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 37/561,22/743,621/556

Given numbers are 37/561,22/743,621/556

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 37,22,621

Least Common Multiple of Numerators i.e. LCM of 37,22,621 is 505494.

GCF of Denominators means GCF of 561,743,556 as per the given fractions.

GCF of 561,743,556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,22,621

LCM of Fractions 37/561,22/743,621/556 is 505494

Given numbers has no common factors except 1. So, there LCM is their product i.e 505494

Least Common Multiple of 37,22,621 with GCF Formula

Least Common Multiple of 37,22,621 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 37,22,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,22,621) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,22,621) x common factors =1 x 1 = 1

LCM(37,22,621) = ( 37 × 22 × 621 ) / 1

LCM(37,22,621) = 505494 / 1

LCM(37,22,621) = 505494


Lets's calculate GCF of 561,743,556

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505494/1

Therefore the LCM of Fractions 37/561,22/743,621/556 is 505494

Greatest Common Factor of 561,743,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,743,556 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 561,743,556 . The biggest common factor number is the GCF number.
So the greatest common factor 561,743,556 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 37/561, 22/743, 621/556

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 37/561, 22/743, 621/556?

Answer: LCM of Numerators as per given numbers 37/561, 22/743, 621/556 is

LCM of Numerators i.e. for 37,22,621 is 505494

GCF of denominators i.e. for 561,743,556 is 1.

Thus, LCM of Fractions is 505494.Finally, LCM of Fractions for 37/561, 22/743, 621/556 is 505494.