Least Common Multiple of 5842/66, 7280/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5842/66, 7280/123 quickly i.e. 21264880/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5842/66, 7280/123 is 21264880/3.

LCM(5842/66, 7280/123) = 21264880/3

LCM of 5842/66, 7280/123

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 5842/66,7280/123

Given numbers are 5842/66,7280/123

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 5842,7280

Least Common Multiple of Numerators i.e. LCM of 5842,7280 is 21264880.

GCF of Denominators means GCF of 66,123 as per the given fractions.

GCF of 66,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5842,7280

LCM of Fractions 5842/66,7280/123 is 21264880/3

2 5842, 7280
2921, 3640

∴ So the LCM of the given numbers is 2 x 2921 x 3640 = 21264880

Least Common Multiple of 5842,7280 with GCF Formula

Least Common Multiple of 5842,7280 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 5842,7280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5842,7280) = 2

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

GCF(5842,7280) x common factors =2 x 1 = 2

LCM(5842,7280) = ( 5842 × 7280 ) / 2

LCM(5842,7280) = 42529760 / 2

LCM(5842,7280) = 21264880


Lets's calculate GCF of 66,123

3 66, 123
22, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21264880/3

Therefore the LCM of Fractions 5842/66,7280/123 is 21264880/3

Greatest Common Factor of 66,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,123 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 66,123 . The biggest common factor number is the GCF number.
So the greatest common factor 66,123 is 3.


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 5842/66, 7280/123

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 5842/66, 7280/123?

Answer: LCM of Numerators as per given numbers 5842/66, 7280/123 is

LCM of Numerators i.e. for 5842,7280 is 21264880

GCF of denominators i.e. for 66,123 is 3.

Thus, LCM of Fractions is 21264880/3.Finally, LCM of Fractions for 5842/66, 7280/123 is 21264880/3.