Least Common Multiple of 85/812, 767/652, 860/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/812, 767/652, 860/935 quickly i.e. 11213540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/812, 767/652, 860/935 is 11213540.

LCM(85/812, 767/652, 860/935) = 11213540

LCM of 85/812, 767/652, 860/935

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 85/812,767/652,860/935

Given numbers are 85/812,767/652,860/935

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 85,767,860

Least Common Multiple of Numerators i.e. LCM of 85,767,860 is 11213540.

GCF of Denominators means GCF of 812,652,935 as per the given fractions.

GCF of 812,652,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,767,860

LCM of Fractions 85/812,767/652,860/935 is 11213540

5 85, 767, 860
17, 767, 172

∴ So the LCM of the given numbers is 5 x 17 x 767 x 172 = 11213540

Least Common Multiple of 85,767,860 with GCF Formula

Least Common Multiple of 85,767,860 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 85,767,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,767,860) = 1

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

GCF(85,767,860) x common factors =1 x 5 = 5

LCM(85,767,860) = ( 85 × 767 × 860 ) / 5

LCM(85,767,860) = 56067700 / 5

LCM(85,767,860) = 11213540


Lets's calculate GCF of 812,652,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11213540/1

Therefore the LCM of Fractions 85/812,767/652,860/935 is 11213540

Greatest Common Factor of 812,652,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,652,935 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 812,652,935 . The biggest common factor number is the GCF number.
So the greatest common factor 812,652,935 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/812, 767/652, 860/935

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 85/812, 767/652, 860/935?

Answer: LCM of Numerators as per given numbers 85/812, 767/652, 860/935 is

LCM of Numerators i.e. for 85,767,860 is 11213540

GCF of denominators i.e. for 812,652,935 is 1.

Thus, LCM of Fractions is 11213540.Finally, LCM of Fractions for 85/812, 767/652, 860/935 is 11213540.