Least Common Multiple of 40/208, 83/895, 301/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/208, 83/895, 301/765 quickly i.e. 999320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/208, 83/895, 301/765 is 999320.

LCM(40/208, 83/895, 301/765) = 999320

LCM of 40/208, 83/895, 301/765

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 40/208,83/895,301/765

Given numbers are 40/208,83/895,301/765

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 40,83,301

Least Common Multiple of Numerators i.e. LCM of 40,83,301 is 999320.

GCF of Denominators means GCF of 208,895,765 as per the given fractions.

GCF of 208,895,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,83,301

LCM of Fractions 40/208,83/895,301/765 is 999320

Given numbers has no common factors except 1. So, there LCM is their product i.e 999320

Least Common Multiple of 40,83,301 with GCF Formula

Least Common Multiple of 40,83,301 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 40,83,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,83,301) = 1

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

GCF(40,83,301) x common factors =1 x 1 = 1

LCM(40,83,301) = ( 40 × 83 × 301 ) / 1

LCM(40,83,301) = 999320 / 1

LCM(40,83,301) = 999320


Lets's calculate GCF of 208,895,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 999320/1

Therefore the LCM of Fractions 40/208,83/895,301/765 is 999320

Greatest Common Factor of 208,895,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,895,765 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

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 208,895,765 . The biggest common factor number is the GCF number.
So the greatest common factor 208,895,765 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 40/208, 83/895, 301/765

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 40/208, 83/895, 301/765?

Answer: LCM of Numerators as per given numbers 40/208, 83/895, 301/765 is

LCM of Numerators i.e. for 40,83,301 is 999320

GCF of denominators i.e. for 208,895,765 is 1.

Thus, LCM of Fractions is 999320.Finally, LCM of Fractions for 40/208, 83/895, 301/765 is 999320.