Least Common Multiple of 264/83, 759/7406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/83, 759/7406 quickly i.e. 6072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/83, 759/7406 is 6072.

LCM(264/83, 759/7406) = 6072

LCM of 264/83, 759/7406

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 264/83,759/7406

Given numbers are 264/83,759/7406

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 264,759

Least Common Multiple of Numerators i.e. LCM of 264,759 is 6072.

GCF of Denominators means GCF of 83,7406 as per the given fractions.

GCF of 83,7406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,759

LCM of Fractions 264/83,759/7406 is 6072

3 264, 759
11 88, 253
8, 23

∴ So the LCM of the given numbers is 3 x 11 x 8 x 23 = 6072

Least Common Multiple of 264,759 with GCF Formula

Least Common Multiple of 264,759 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 264,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,759) = 33

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

GCF(264,759) x common factors =33 x 1 = 33

LCM(264,759) = ( 264 × 759 ) / 33

LCM(264,759) = 200376 / 33

LCM(264,759) = 6072


Lets's calculate GCF of 83,7406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6072/1

Therefore the LCM of Fractions 264/83,759/7406 is 6072

Greatest Common Factor of 83,7406 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,7406 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1,2,7,14,23,46,161,322,529,1058,3703,7406

Greatest Common Factor

We found the factors 83,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 83,7406 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 264/83, 759/7406

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 264/83, 759/7406?

Answer: LCM of Numerators as per given numbers 264/83, 759/7406 is

LCM of Numerators i.e. for 264,759 is 6072

GCF of denominators i.e. for 83,7406 is 1.

Thus, LCM of Fractions is 6072.Finally, LCM of Fractions for 264/83, 759/7406 is 6072.