Least Common Multiple of 648/38, 521/36, 160/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/38, 521/36, 160/918 quickly i.e. 3376080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/38, 521/36, 160/918 is 3376080.

LCM(648/38, 521/36, 160/918) = 3376080

LCM of 648/38, 521/36, 160/918

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 648/38,521/36,160/918

Given numbers are 648/38,521/36,160/918

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 648,521,160

Least Common Multiple of Numerators i.e. LCM of 648,521,160 is 6752160.

GCF of Denominators means GCF of 38,36,918 as per the given fractions.

GCF of 38,36,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,521,160

LCM of Fractions 648/38,521/36,160/918 is 3376080

2 648, 521, 160
2 324, 521, 80
2 162, 521, 40
81, 521, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 521 x 20 = 6752160

Least Common Multiple of 648,521,160 with GCF Formula

Least Common Multiple of 648,521,160 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 648,521,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,521,160) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(648,521,160) x common factors =1 x 8 = 8

LCM(648,521,160) = ( 648 × 521 × 160 ) / 8

LCM(648,521,160) = 54017280 / 8

LCM(648,521,160) = 6752160


Lets's calculate GCF of 38,36,918

2 38, 36, 918
19, 18, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6752160/2

Therefore the LCM of Fractions 648/38,521/36,160/918 is 3376080

Greatest Common Factor of 38,36,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,36,918 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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

Greatest Common Factor

We found the factors 38,36,918 . The biggest common factor number is the GCF number.
So the greatest common factor 38,36,918 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 648/38, 521/36, 160/918

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 648/38, 521/36, 160/918?

Answer: LCM of Numerators as per given numbers 648/38, 521/36, 160/918 is

LCM of Numerators i.e. for 648,521,160 is 6752160

GCF of denominators i.e. for 38,36,918 is 2.

Thus, LCM of Fractions is 3376080.Finally, LCM of Fractions for 648/38, 521/36, 160/918 is 3376080.