Least Common Multiple of 623/954, 519/702, 195/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/954, 519/702, 195/180 quickly i.e. 21016905/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/954, 519/702, 195/180 is 21016905/18.

LCM(623/954, 519/702, 195/180) = 21016905/18

LCM of 623/954, 519/702, 195/180

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 623/954,519/702,195/180

Given numbers are 623/954,519/702,195/180

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 623,519,195

Least Common Multiple of Numerators i.e. LCM of 623,519,195 is 21016905.

GCF of Denominators means GCF of 954,702,180 as per the given fractions.

GCF of 954,702,180 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,519,195

LCM of Fractions 623/954,519/702,195/180 is 21016905/18

3 623, 519, 195
623, 173, 65

∴ So the LCM of the given numbers is 3 x 623 x 173 x 65 = 21016905

Least Common Multiple of 623,519,195 with GCF Formula

Least Common Multiple of 623,519,195 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 623,519,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,519,195) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(623,519,195) x common factors =1 x 3 = 3

LCM(623,519,195) = ( 623 × 519 × 195 ) / 3

LCM(623,519,195) = 63050715 / 3

LCM(623,519,195) = 21016905


Lets's calculate GCF of 954,702,180

2 954, 702, 180
3 477, 351, 90
3 159, 117, 30
53, 39, 10

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21016905/18

Therefore the LCM of Fractions 623/954,519/702,195/180 is 21016905/18

Greatest Common Factor of 954,702,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,702,180 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 954,702,180 . The biggest common factor number is the GCF number.
So the greatest common factor 954,702,180 is 18.


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 623/954, 519/702, 195/180

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 623/954, 519/702, 195/180?

Answer: LCM of Numerators as per given numbers 623/954, 519/702, 195/180 is

LCM of Numerators i.e. for 623,519,195 is 21016905

GCF of denominators i.e. for 954,702,180 is 18.

Thus, LCM of Fractions is 21016905/18.Finally, LCM of Fractions for 623/954, 519/702, 195/180 is 21016905/18.