Least Common Multiple of 30/134, 90/626, 486/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/134, 90/626, 486/423 quickly i.e. 2430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/134, 90/626, 486/423 is 2430.

LCM(30/134, 90/626, 486/423) = 2430

LCM of 30/134, 90/626, 486/423

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 30/134,90/626,486/423

Given numbers are 30/134,90/626,486/423

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 30,90,486

Least Common Multiple of Numerators i.e. LCM of 30,90,486 is 2430.

GCF of Denominators means GCF of 134,626,423 as per the given fractions.

GCF of 134,626,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,90,486

LCM of Fractions 30/134,90/626,486/423 is 2430

2 30, 90, 486
3 15, 45, 243
3 5, 15, 81
5 5, 5, 27
1, 1, 27

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 27 = 2430

Least Common Multiple of 30,90,486 with GCF Formula

Least Common Multiple of 30,90,486 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 30,90,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,90,486) = 6

common factors(in case of two or more numbers have common factors) = 90

GCF(30,90,486) x common factors =6 x 90 = 540

LCM(30,90,486) = ( 30 × 90 × 486 ) / 540

LCM(30,90,486) = 1312200 / 540

LCM(30,90,486) = 2430


Lets's calculate GCF of 134,626,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2430/1

Therefore the LCM of Fractions 30/134,90/626,486/423 is 2430

Greatest Common Factor of 134,626,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,626,423 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 134,626,423 . The biggest common factor number is the GCF number.
So the greatest common factor 134,626,423 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 30/134, 90/626, 486/423

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 30/134, 90/626, 486/423?

Answer: LCM of Numerators as per given numbers 30/134, 90/626, 486/423 is

LCM of Numerators i.e. for 30,90,486 is 2430

GCF of denominators i.e. for 134,626,423 is 1.

Thus, LCM of Fractions is 2430.Finally, LCM of Fractions for 30/134, 90/626, 486/423 is 2430.