Least Common Multiple of 117/906, 3380/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 117/906, 3380/575 quickly i.e. 30420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/906, 3380/575 is 30420.

LCM(117/906, 3380/575) = 30420

LCM of 117/906, 3380/575

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 117/906,3380/575

Given numbers are 117/906,3380/575

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 117,3380

Least Common Multiple of Numerators i.e. LCM of 117,3380 is 30420.

GCF of Denominators means GCF of 906,575 as per the given fractions.

GCF of 906,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,3380

LCM of Fractions 117/906,3380/575 is 30420

13 117, 3380
9, 260

∴ So the LCM of the given numbers is 13 x 9 x 260 = 30420

Least Common Multiple of 117,3380 with GCF Formula

Least Common Multiple of 117,3380 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 117,3380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,3380) = 13

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

GCF(117,3380) x common factors =13 x 1 = 13

LCM(117,3380) = ( 117 × 3380 ) / 13

LCM(117,3380) = 395460 / 13

LCM(117,3380) = 30420


Lets's calculate GCF of 906,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30420/1

Therefore the LCM of Fractions 117/906,3380/575 is 30420

Greatest Common Factor of 906,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,575 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 906,575 . The biggest common factor number is the GCF number.
So the greatest common factor 906,575 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 117/906, 3380/575

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 117/906, 3380/575?

Answer: LCM of Numerators as per given numbers 117/906, 3380/575 is

LCM of Numerators i.e. for 117,3380 is 30420

GCF of denominators i.e. for 906,575 is 1.

Thus, LCM of Fractions is 30420.Finally, LCM of Fractions for 117/906, 3380/575 is 30420.