Least Common Multiple of 645/918, 570/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/918, 570/860 quickly i.e. 12255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/918, 570/860 is 12255.

LCM(645/918, 570/860) = 12255

LCM of 645/918, 570/860

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 645/918,570/860

Given numbers are 645/918,570/860

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 645,570

Least Common Multiple of Numerators i.e. LCM of 645,570 is 24510.

GCF of Denominators means GCF of 918,860 as per the given fractions.

GCF of 918,860 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,570

LCM of Fractions 645/918,570/860 is 12255

3 645, 570
5 215, 190
43, 38

∴ So the LCM of the given numbers is 3 x 5 x 43 x 38 = 24510

Least Common Multiple of 645,570 with GCF Formula

Least Common Multiple of 645,570 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 645,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,570) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(645,570) x common factors =15 x 1 = 15

LCM(645,570) = ( 645 × 570 ) / 15

LCM(645,570) = 367650 / 15

LCM(645,570) = 24510


Lets's calculate GCF of 918,860

2 918, 860
459, 430

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24510/2

Therefore the LCM of Fractions 645/918,570/860 is 12255

Greatest Common Factor of 918,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,860 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 918,860 . The biggest common factor number is the GCF number.
So the greatest common factor 918,860 is 2.


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 645/918, 570/860

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 645/918, 570/860?

Answer: LCM of Numerators as per given numbers 645/918, 570/860 is

LCM of Numerators i.e. for 645,570 is 24510

GCF of denominators i.e. for 918,860 is 2.

Thus, LCM of Fractions is 12255.Finally, LCM of Fractions for 645/918, 570/860 is 12255.