Least Common Multiple of 645/896, 918/396, 500/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/896, 918/396, 500/209 quickly i.e. 9868500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/896, 918/396, 500/209 is 9868500.

LCM(645/896, 918/396, 500/209) = 9868500

LCM of 645/896, 918/396, 500/209

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 645/896,918/396,500/209

Given numbers are 645/896,918/396,500/209

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 645,918,500

Least Common Multiple of Numerators i.e. LCM of 645,918,500 is 9868500.

GCF of Denominators means GCF of 896,396,209 as per the given fractions.

GCF of 896,396,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,918,500

LCM of Fractions 645/896,918/396,500/209 is 9868500

2 645, 918, 500
3 645, 459, 250
5 215, 153, 250
43, 153, 50

∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 153 x 50 = 9868500

Least Common Multiple of 645,918,500 with GCF Formula

Least Common Multiple of 645,918,500 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 645,918,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,918,500) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(645,918,500) x common factors =1 x 30 = 30

LCM(645,918,500) = ( 645 × 918 × 500 ) / 30

LCM(645,918,500) = 296055000 / 30

LCM(645,918,500) = 9868500


Lets's calculate GCF of 896,396,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9868500/1

Therefore the LCM of Fractions 645/896,918/396,500/209 is 9868500

Greatest Common Factor of 896,396,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,396,209 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 896,396,209 . The biggest common factor number is the GCF number.
So the greatest common factor 896,396,209 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 645/896, 918/396, 500/209

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 645/896, 918/396, 500/209?

Answer: LCM of Numerators as per given numbers 645/896, 918/396, 500/209 is

LCM of Numerators i.e. for 645,918,500 is 9868500

GCF of denominators i.e. for 896,396,209 is 1.

Thus, LCM of Fractions is 9868500.Finally, LCM of Fractions for 645/896, 918/396, 500/209 is 9868500.