Least Common Multiple of 495/87, 657/18, 629/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/87, 657/18, 629/438 quickly i.e. 7576305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/87, 657/18, 629/438 is 7576305.

LCM(495/87, 657/18, 629/438) = 7576305

LCM of 495/87, 657/18, 629/438

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 495/87,657/18,629/438

Given numbers are 495/87,657/18,629/438

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 495,657,629

Least Common Multiple of Numerators i.e. LCM of 495,657,629 is 22728915.

GCF of Denominators means GCF of 87,18,438 as per the given fractions.

GCF of 87,18,438 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,657,629

LCM of Fractions 495/87,657/18,629/438 is 7576305

3 495, 657, 629
3 165, 219, 629
55, 73, 629

∴ So the LCM of the given numbers is 3 x 3 x 55 x 73 x 629 = 22728915

Least Common Multiple of 495,657,629 with GCF Formula

Least Common Multiple of 495,657,629 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 495,657,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,657,629) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(495,657,629) x common factors =1 x 9 = 9

LCM(495,657,629) = ( 495 × 657 × 629 ) / 9

LCM(495,657,629) = 204560235 / 9

LCM(495,657,629) = 22728915


Lets's calculate GCF of 87,18,438

3 87, 18, 438
29, 6, 146

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22728915/3

Therefore the LCM of Fractions 495/87,657/18,629/438 is 7576305

Greatest Common Factor of 87,18,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,18,438 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 87,18,438 . The biggest common factor number is the GCF number.
So the greatest common factor 87,18,438 is 3.


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 495/87, 657/18, 629/438

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 495/87, 657/18, 629/438?

Answer: LCM of Numerators as per given numbers 495/87, 657/18, 629/438 is

LCM of Numerators i.e. for 495,657,629 is 22728915

GCF of denominators i.e. for 87,18,438 is 3.

Thus, LCM of Fractions is 7576305.Finally, LCM of Fractions for 495/87, 657/18, 629/438 is 7576305.