Least Common Multiple of 645/10, 705/26, 464/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/10, 705/26, 464/573 quickly i.e. 14066160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/10, 705/26, 464/573 is 14066160.

LCM(645/10, 705/26, 464/573) = 14066160

LCM of 645/10, 705/26, 464/573

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 645/10,705/26,464/573

Given numbers are 645/10,705/26,464/573

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 645,705,464

Least Common Multiple of Numerators i.e. LCM of 645,705,464 is 14066160.

GCF of Denominators means GCF of 10,26,573 as per the given fractions.

GCF of 10,26,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,705,464

LCM of Fractions 645/10,705/26,464/573 is 14066160

3 645, 705, 464
5 215, 235, 464
43, 47, 464

∴ So the LCM of the given numbers is 3 x 5 x 43 x 47 x 464 = 14066160

Least Common Multiple of 645,705,464 with GCF Formula

Least Common Multiple of 645,705,464 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 645,705,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,705,464) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(645,705,464) x common factors =1 x 15 = 15

LCM(645,705,464) = ( 645 × 705 × 464 ) / 15

LCM(645,705,464) = 210992400 / 15

LCM(645,705,464) = 14066160


Lets's calculate GCF of 10,26,573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14066160/1

Therefore the LCM of Fractions 645/10,705/26,464/573 is 14066160

Greatest Common Factor of 10,26,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,26,573 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 10,26,573 . The biggest common factor number is the GCF number.
So the greatest common factor 10,26,573 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 645/10, 705/26, 464/573

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 645/10, 705/26, 464/573?

Answer: LCM of Numerators as per given numbers 645/10, 705/26, 464/573 is

LCM of Numerators i.e. for 645,705,464 is 14066160

GCF of denominators i.e. for 10,26,573 is 1.

Thus, LCM of Fractions is 14066160.Finally, LCM of Fractions for 645/10, 705/26, 464/573 is 14066160.