Least Common Multiple of 23/126, 7366/3722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/126, 7366/3722 quickly i.e. 84709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/126, 7366/3722 is 84709.

LCM(23/126, 7366/3722) = 84709

LCM of 23/126, 7366/3722

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 23/126,7366/3722

Given numbers are 23/126,7366/3722

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 23,7366

Least Common Multiple of Numerators i.e. LCM of 23,7366 is 169418.

GCF of Denominators means GCF of 126,3722 as per the given fractions.

GCF of 126,3722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,7366

LCM of Fractions 23/126,7366/3722 is 84709

Given numbers has no common factors except 1. So, there LCM is their product i.e 169418

Least Common Multiple of 23,7366 with GCF Formula

Least Common Multiple of 23,7366 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 23,7366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,7366) = 1

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

GCF(23,7366) x common factors =1 x 1 = 1

LCM(23,7366) = ( 23 × 7366 ) / 1

LCM(23,7366) = 169418 / 1

LCM(23,7366) = 169418


Lets's calculate GCF of 126,3722

2 126, 3722
63, 1861

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169418/2

Therefore the LCM of Fractions 23/126,7366/3722 is 84709

Greatest Common Factor of 126,3722 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,3722 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 3722

List of positive integer factors of 3722 that divides 3722 without a remainder.

1,2,1861,3722

Greatest Common Factor

We found the factors 126,3722 . The biggest common factor number is the GCF number.
So the greatest common factor 126,3722 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/126, 7366/3722

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 23/126, 7366/3722?

Answer: LCM of Numerators as per given numbers 23/126, 7366/3722 is

LCM of Numerators i.e. for 23,7366 is 169418

GCF of denominators i.e. for 126,3722 is 2.

Thus, LCM of Fractions is 84709.Finally, LCM of Fractions for 23/126, 7366/3722 is 84709.