Least Common Multiple of 84/85, 510/77, 646/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/85, 510/77, 646/655 quickly i.e. 135660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/85, 510/77, 646/655 is 135660.

LCM(84/85, 510/77, 646/655) = 135660

LCM of 84/85, 510/77, 646/655

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 84/85,510/77,646/655

Given numbers are 84/85,510/77,646/655

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 84,510,646

Least Common Multiple of Numerators i.e. LCM of 84,510,646 is 135660.

GCF of Denominators means GCF of 85,77,655 as per the given fractions.

GCF of 85,77,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,510,646

LCM of Fractions 84/85,510/77,646/655 is 135660

2 84, 510, 646
3 42, 255, 323
17 14, 85, 323
14, 5, 19

∴ So the LCM of the given numbers is 2 x 3 x 17 x 14 x 5 x 19 = 135660

Least Common Multiple of 84,510,646 with GCF Formula

Least Common Multiple of 84,510,646 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 84,510,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,510,646) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(84,510,646) x common factors =2 x 102 = 204

LCM(84,510,646) = ( 84 × 510 × 646 ) / 204

LCM(84,510,646) = 27674640 / 204

LCM(84,510,646) = 135660


Lets's calculate GCF of 85,77,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135660/1

Therefore the LCM of Fractions 84/85,510/77,646/655 is 135660

Greatest Common Factor of 85,77,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,77,655 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 85,77,655 . The biggest common factor number is the GCF number.
So the greatest common factor 85,77,655 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 84/85, 510/77, 646/655

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 84/85, 510/77, 646/655?

Answer: LCM of Numerators as per given numbers 84/85, 510/77, 646/655 is

LCM of Numerators i.e. for 84,510,646 is 135660

GCF of denominators i.e. for 85,77,655 is 1.

Thus, LCM of Fractions is 135660.Finally, LCM of Fractions for 84/85, 510/77, 646/655 is 135660.