Least Common Multiple of 408/759, 9520/1169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/759, 9520/1169 quickly i.e. 28560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/759, 9520/1169 is 28560.

LCM(408/759, 9520/1169) = 28560

LCM of 408/759, 9520/1169

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 408/759,9520/1169

Given numbers are 408/759,9520/1169

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 408,9520

Least Common Multiple of Numerators i.e. LCM of 408,9520 is 28560.

GCF of Denominators means GCF of 759,1169 as per the given fractions.

GCF of 759,1169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,9520

LCM of Fractions 408/759,9520/1169 is 28560

2 408, 9520
2 204, 4760
2 102, 2380
17 51, 1190
3, 70

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 3 x 70 = 28560

Least Common Multiple of 408,9520 with GCF Formula

Least Common Multiple of 408,9520 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 408,9520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,9520) = 136

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

GCF(408,9520) x common factors =136 x 1 = 136

LCM(408,9520) = ( 408 × 9520 ) / 136

LCM(408,9520) = 3884160 / 136

LCM(408,9520) = 28560


Lets's calculate GCF of 759,1169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28560/1

Therefore the LCM of Fractions 408/759,9520/1169 is 28560

Greatest Common Factor of 759,1169 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,1169 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 1169

List of positive integer factors of 1169 that divides 1169 without a remainder.

1,7,167,1169

Greatest Common Factor

We found the factors 759,1169 . The biggest common factor number is the GCF number.
So the greatest common factor 759,1169 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 408/759, 9520/1169

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 408/759, 9520/1169?

Answer: LCM of Numerators as per given numbers 408/759, 9520/1169 is

LCM of Numerators i.e. for 408,9520 is 28560

GCF of denominators i.e. for 759,1169 is 1.

Thus, LCM of Fractions is 28560.Finally, LCM of Fractions for 408/759, 9520/1169 is 28560.