Least Common Multiple of 860/21, 770/76, 252/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 860/21, 770/76, 252/865 quickly i.e. 595980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 860/21, 770/76, 252/865 is 595980.

LCM(860/21, 770/76, 252/865) = 595980

LCM of 860/21, 770/76, 252/865

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 860/21,770/76,252/865

Given numbers are 860/21,770/76,252/865

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 860,770,252

Least Common Multiple of Numerators i.e. LCM of 860,770,252 is 595980.

GCF of Denominators means GCF of 21,76,865 as per the given fractions.

GCF of 21,76,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 860,770,252

LCM of Fractions 860/21,770/76,252/865 is 595980

2 860, 770, 252
2 430, 385, 126
5 215, 385, 63
7 43, 77, 63
43, 11, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 43 x 11 x 9 = 595980

Least Common Multiple of 860,770,252 with GCF Formula

Least Common Multiple of 860,770,252 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 860,770,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,770,252) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(860,770,252) x common factors =2 x 140 = 280

LCM(860,770,252) = ( 860 × 770 × 252 ) / 280

LCM(860,770,252) = 166874400 / 280

LCM(860,770,252) = 595980


Lets's calculate GCF of 21,76,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595980/1

Therefore the LCM of Fractions 860/21,770/76,252/865 is 595980

Greatest Common Factor of 21,76,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,76,865 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 21,76,865 . The biggest common factor number is the GCF number.
So the greatest common factor 21,76,865 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 860/21, 770/76, 252/865

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 860/21, 770/76, 252/865?

Answer: LCM of Numerators as per given numbers 860/21, 770/76, 252/865 is

LCM of Numerators i.e. for 860,770,252 is 595980

GCF of denominators i.e. for 21,76,865 is 1.

Thus, LCM of Fractions is 595980.Finally, LCM of Fractions for 860/21, 770/76, 252/865 is 595980.