Least Common Multiple of 71/859, 78/540, 774/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/859, 78/540, 774/695 quickly i.e. 714402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/859, 78/540, 774/695 is 714402.

LCM(71/859, 78/540, 774/695) = 714402

LCM of 71/859, 78/540, 774/695

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 71/859,78/540,774/695

Given numbers are 71/859,78/540,774/695

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 71,78,774

Least Common Multiple of Numerators i.e. LCM of 71,78,774 is 714402.

GCF of Denominators means GCF of 859,540,695 as per the given fractions.

GCF of 859,540,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,78,774

LCM of Fractions 71/859,78/540,774/695 is 714402

2 71, 78, 774
3 71, 39, 387
71, 13, 129

∴ So the LCM of the given numbers is 2 x 3 x 71 x 13 x 129 = 714402

Least Common Multiple of 71,78,774 with GCF Formula

Least Common Multiple of 71,78,774 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 71,78,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,78,774) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(71,78,774) x common factors =1 x 6 = 6

LCM(71,78,774) = ( 71 × 78 × 774 ) / 6

LCM(71,78,774) = 4286412 / 6

LCM(71,78,774) = 714402


Lets's calculate GCF of 859,540,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714402/1

Therefore the LCM of Fractions 71/859,78/540,774/695 is 714402

Greatest Common Factor of 859,540,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,540,695 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 859,540,695 . The biggest common factor number is the GCF number.
So the greatest common factor 859,540,695 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 71/859, 78/540, 774/695

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 71/859, 78/540, 774/695?

Answer: LCM of Numerators as per given numbers 71/859, 78/540, 774/695 is

LCM of Numerators i.e. for 71,78,774 is 714402

GCF of denominators i.e. for 859,540,695 is 1.

Thus, LCM of Fractions is 714402.Finally, LCM of Fractions for 71/859, 78/540, 774/695 is 714402.