Least Common Multiple of 1/153, 82/540, 90/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/153, 82/540, 90/549 quickly i.e. 410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/153, 82/540, 90/549 is 410.

LCM(1/153, 82/540, 90/549) = 410

LCM of 1/153, 82/540, 90/549

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 1/153,82/540,90/549

Given numbers are 1/153,82/540,90/549

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 1,82,90

Least Common Multiple of Numerators i.e. LCM of 1,82,90 is 3690.

GCF of Denominators means GCF of 153,540,549 as per the given fractions.

GCF of 153,540,549 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,82,90

LCM of Fractions 1/153,82/540,90/549 is 410

2 1, 82, 90
1, 41, 45

∴ So the LCM of the given numbers is 2 x 1 x 41 x 45 = 3690

Least Common Multiple of 1,82,90 with GCF Formula

Least Common Multiple of 1,82,90 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 1,82,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,82,90) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(1,82,90) x common factors =1 x 2 = 2

LCM(1,82,90) = ( 1 × 82 × 90 ) / 2

LCM(1,82,90) = 7380 / 2

LCM(1,82,90) = 3690


Lets's calculate GCF of 153,540,549

3 153, 540, 549
3 51, 180, 183
17, 60, 61

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3690/9

Therefore the LCM of Fractions 1/153,82/540,90/549 is 410

Greatest Common Factor of 153,540,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,540,549 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 153,540,549 . The biggest common factor number is the GCF number.
So the greatest common factor 153,540,549 is 9.


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 1/153, 82/540, 90/549

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 1/153, 82/540, 90/549?

Answer: LCM of Numerators as per given numbers 1/153, 82/540, 90/549 is

LCM of Numerators i.e. for 1,82,90 is 3690

GCF of denominators i.e. for 153,540,549 is 9.

Thus, LCM of Fractions is 410.Finally, LCM of Fractions for 1/153, 82/540, 90/549 is 410.