Least Common Multiple of 918/22, 729/98, 468/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/22, 729/98, 468/581 quickly i.e. 644436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/22, 729/98, 468/581 is 644436.

LCM(918/22, 729/98, 468/581) = 644436

LCM of 918/22, 729/98, 468/581

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 918/22,729/98,468/581

Given numbers are 918/22,729/98,468/581

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 918,729,468

Least Common Multiple of Numerators i.e. LCM of 918,729,468 is 644436.

GCF of Denominators means GCF of 22,98,581 as per the given fractions.

GCF of 22,98,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,729,468

LCM of Fractions 918/22,729/98,468/581 is 644436

2 918, 729, 468
3 459, 729, 234
3 153, 243, 78
3 51, 81, 26
17, 27, 26

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 17 x 27 x 26 = 644436

Least Common Multiple of 918,729,468 with GCF Formula

Least Common Multiple of 918,729,468 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 918,729,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,729,468) = 9

common factors(in case of two or more numbers have common factors) = 54

GCF(918,729,468) x common factors =9 x 54 = 486

LCM(918,729,468) = ( 918 × 729 × 468 ) / 486

LCM(918,729,468) = 313195896 / 486

LCM(918,729,468) = 644436


Lets's calculate GCF of 22,98,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644436/1

Therefore the LCM of Fractions 918/22,729/98,468/581 is 644436

Greatest Common Factor of 22,98,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,98,581 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 22,98,581 . The biggest common factor number is the GCF number.
So the greatest common factor 22,98,581 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 918/22, 729/98, 468/581

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 918/22, 729/98, 468/581?

Answer: LCM of Numerators as per given numbers 918/22, 729/98, 468/581 is

LCM of Numerators i.e. for 918,729,468 is 644436

GCF of denominators i.e. for 22,98,581 is 1.

Thus, LCM of Fractions is 644436.Finally, LCM of Fractions for 918/22, 729/98, 468/581 is 644436.