Least Common Multiple of 37/56, 53/23, 11/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/56, 53/23, 11/626 quickly i.e. 21571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/56, 53/23, 11/626 is 21571.

LCM(37/56, 53/23, 11/626) = 21571

LCM of 37/56, 53/23, 11/626

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 37/56,53/23,11/626

Given numbers are 37/56,53/23,11/626

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 37,53,11

Least Common Multiple of Numerators i.e. LCM of 37,53,11 is 21571.

GCF of Denominators means GCF of 56,23,626 as per the given fractions.

GCF of 56,23,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,53,11

LCM of Fractions 37/56,53/23,11/626 is 21571

Given numbers has no common factors except 1. So, there LCM is their product i.e 21571

Least Common Multiple of 37,53,11 with GCF Formula

Least Common Multiple of 37,53,11 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 37,53,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,53,11) = 1

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

GCF(37,53,11) x common factors =1 x 1 = 1

LCM(37,53,11) = ( 37 × 53 × 11 ) / 1

LCM(37,53,11) = 21571 / 1

LCM(37,53,11) = 21571


Lets's calculate GCF of 56,23,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21571/1

Therefore the LCM of Fractions 37/56,53/23,11/626 is 21571

Greatest Common Factor of 56,23,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,23,626 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 56,23,626 . The biggest common factor number is the GCF number.
So the greatest common factor 56,23,626 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/56, 53/23, 11/626

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 37/56, 53/23, 11/626?

Answer: LCM of Numerators as per given numbers 37/56, 53/23, 11/626 is

LCM of Numerators i.e. for 37,53,11 is 21571

GCF of denominators i.e. for 56,23,626 is 1.

Thus, LCM of Fractions is 21571.Finally, LCM of Fractions for 37/56, 53/23, 11/626 is 21571.