Least Common Multiple of 36/723, 5437/5362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/723, 5437/5362 quickly i.e. 195732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/723, 5437/5362 is 195732.

LCM(36/723, 5437/5362) = 195732

LCM of 36/723, 5437/5362

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 36/723,5437/5362

Given numbers are 36/723,5437/5362

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 36,5437

Least Common Multiple of Numerators i.e. LCM of 36,5437 is 195732.

GCF of Denominators means GCF of 723,5362 as per the given fractions.

GCF of 723,5362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,5437

LCM of Fractions 36/723,5437/5362 is 195732

Given numbers has no common factors except 1. So, there LCM is their product i.e 195732

Least Common Multiple of 36,5437 with GCF Formula

Least Common Multiple of 36,5437 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 36,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,5437) = 1

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

GCF(36,5437) x common factors =1 x 1 = 1

LCM(36,5437) = ( 36 × 5437 ) / 1

LCM(36,5437) = 195732 / 1

LCM(36,5437) = 195732


Lets's calculate GCF of 723,5362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195732/1

Therefore the LCM of Fractions 36/723,5437/5362 is 195732

Greatest Common Factor of 723,5362 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,5362 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 5362

List of positive integer factors of 5362 that divides 5362 without a remainder.

1,2,7,14,383,766,2681,5362

Greatest Common Factor

We found the factors 723,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 723,5362 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/723, 5437/5362

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 36/723, 5437/5362?

Answer: LCM of Numerators as per given numbers 36/723, 5437/5362 is

LCM of Numerators i.e. for 36,5437 is 195732

GCF of denominators i.e. for 723,5362 is 1.

Thus, LCM of Fractions is 195732.Finally, LCM of Fractions for 36/723, 5437/5362 is 195732.