Least Common Multiple of 90/477, 151/468, 489/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/477, 151/468, 489/389 quickly i.e. 2215170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/477, 151/468, 489/389 is 2215170.

LCM(90/477, 151/468, 489/389) = 2215170

LCM of 90/477, 151/468, 489/389

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 90/477,151/468,489/389

Given numbers are 90/477,151/468,489/389

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 90,151,489

Least Common Multiple of Numerators i.e. LCM of 90,151,489 is 2215170.

GCF of Denominators means GCF of 477,468,389 as per the given fractions.

GCF of 477,468,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,151,489

LCM of Fractions 90/477,151/468,489/389 is 2215170

3 90, 151, 489
30, 151, 163

∴ So the LCM of the given numbers is 3 x 30 x 151 x 163 = 2215170

Least Common Multiple of 90,151,489 with GCF Formula

Least Common Multiple of 90,151,489 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 90,151,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,151,489) = 1

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

GCF(90,151,489) x common factors =1 x 3 = 3

LCM(90,151,489) = ( 90 × 151 × 489 ) / 3

LCM(90,151,489) = 6645510 / 3

LCM(90,151,489) = 2215170


Lets's calculate GCF of 477,468,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2215170/1

Therefore the LCM of Fractions 90/477,151/468,489/389 is 2215170

Greatest Common Factor of 477,468,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,468,389 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 477,468,389 . The biggest common factor number is the GCF number.
So the greatest common factor 477,468,389 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 90/477, 151/468, 489/389

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 90/477, 151/468, 489/389?

Answer: LCM of Numerators as per given numbers 90/477, 151/468, 489/389 is

LCM of Numerators i.e. for 90,151,489 is 2215170

GCF of denominators i.e. for 477,468,389 is 1.

Thus, LCM of Fractions is 2215170.Finally, LCM of Fractions for 90/477, 151/468, 489/389 is 2215170.