Least Common Multiple of 761/78, 865/40, 230/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/78, 865/40, 230/765 quickly i.e. 30280190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/78, 865/40, 230/765 is 30280190.

LCM(761/78, 865/40, 230/765) = 30280190

LCM of 761/78, 865/40, 230/765

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 761/78,865/40,230/765

Given numbers are 761/78,865/40,230/765

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 761,865,230

Least Common Multiple of Numerators i.e. LCM of 761,865,230 is 30280190.

GCF of Denominators means GCF of 78,40,765 as per the given fractions.

GCF of 78,40,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,865,230

LCM of Fractions 761/78,865/40,230/765 is 30280190

5 761, 865, 230
761, 173, 46

∴ So the LCM of the given numbers is 5 x 761 x 173 x 46 = 30280190

Least Common Multiple of 761,865,230 with GCF Formula

Least Common Multiple of 761,865,230 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 761,865,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,865,230) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(761,865,230) x common factors =1 x 5 = 5

LCM(761,865,230) = ( 761 × 865 × 230 ) / 5

LCM(761,865,230) = 151400950 / 5

LCM(761,865,230) = 30280190


Lets's calculate GCF of 78,40,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30280190/1

Therefore the LCM of Fractions 761/78,865/40,230/765 is 30280190

Greatest Common Factor of 78,40,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,40,765 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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 78,40,765 . The biggest common factor number is the GCF number.
So the greatest common factor 78,40,765 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 761/78, 865/40, 230/765

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 761/78, 865/40, 230/765?

Answer: LCM of Numerators as per given numbers 761/78, 865/40, 230/765 is

LCM of Numerators i.e. for 761,865,230 is 30280190

GCF of denominators i.e. for 78,40,765 is 1.

Thus, LCM of Fractions is 30280190.Finally, LCM of Fractions for 761/78, 865/40, 230/765 is 30280190.