Least Common Multiple of 235/492, 618/381, 656/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 235/492, 618/381, 656/765 quickly i.e. 15878480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 235/492, 618/381, 656/765 is 15878480.

LCM(235/492, 618/381, 656/765) = 15878480

LCM of 235/492, 618/381, 656/765

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 235/492,618/381,656/765

Given numbers are 235/492,618/381,656/765

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 235,618,656

Least Common Multiple of Numerators i.e. LCM of 235,618,656 is 47635440.

GCF of Denominators means GCF of 492,381,765 as per the given fractions.

GCF of 492,381,765 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 235,618,656

LCM of Fractions 235/492,618/381,656/765 is 15878480

2 235, 618, 656
235, 309, 328

∴ So the LCM of the given numbers is 2 x 235 x 309 x 328 = 47635440

Least Common Multiple of 235,618,656 with GCF Formula

Least Common Multiple of 235,618,656 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 235,618,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,618,656) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(235,618,656) x common factors =1 x 2 = 2

LCM(235,618,656) = ( 235 × 618 × 656 ) / 2

LCM(235,618,656) = 95270880 / 2

LCM(235,618,656) = 47635440


Lets's calculate GCF of 492,381,765

3 492, 381, 765
164, 127, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47635440/3

Therefore the LCM of Fractions 235/492,618/381,656/765 is 15878480

Greatest Common Factor of 492,381,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,381,765 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 492,381,765 . The biggest common factor number is the GCF number.
So the greatest common factor 492,381,765 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 235/492, 618/381, 656/765

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 235/492, 618/381, 656/765?

Answer: LCM of Numerators as per given numbers 235/492, 618/381, 656/765 is

LCM of Numerators i.e. for 235,618,656 is 47635440

GCF of denominators i.e. for 492,381,765 is 3.

Thus, LCM of Fractions is 15878480.Finally, LCM of Fractions for 235/492, 618/381, 656/765 is 15878480.