Least Common Multiple of 30/498, 234/582, 715/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/498, 234/582, 715/154 quickly i.e. 6435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/498, 234/582, 715/154 is 6435.

LCM(30/498, 234/582, 715/154) = 6435

LCM of 30/498, 234/582, 715/154

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 30/498,234/582,715/154

Given numbers are 30/498,234/582,715/154

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 30,234,715

Least Common Multiple of Numerators i.e. LCM of 30,234,715 is 12870.

GCF of Denominators means GCF of 498,582,154 as per the given fractions.

GCF of 498,582,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,234,715

LCM of Fractions 30/498,234/582,715/154 is 6435

2 30, 234, 715
3 15, 117, 715
5 5, 39, 715
13 1, 39, 143
1, 3, 11

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 3 x 11 = 12870

Least Common Multiple of 30,234,715 with GCF Formula

Least Common Multiple of 30,234,715 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 30,234,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,234,715) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(30,234,715) x common factors =1 x 390 = 390

LCM(30,234,715) = ( 30 × 234 × 715 ) / 390

LCM(30,234,715) = 5019300 / 390

LCM(30,234,715) = 12870


Lets's calculate GCF of 498,582,154

2 498, 582, 154
249, 291, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12870/2

Therefore the LCM of Fractions 30/498,234/582,715/154 is 6435

Greatest Common Factor of 498,582,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,582,154 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 498,582,154 . The biggest common factor number is the GCF number.
So the greatest common factor 498,582,154 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 30/498, 234/582, 715/154

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 30/498, 234/582, 715/154?

Answer: LCM of Numerators as per given numbers 30/498, 234/582, 715/154 is

LCM of Numerators i.e. for 30,234,715 is 12870

GCF of denominators i.e. for 498,582,154 is 2.

Thus, LCM of Fractions is 6435.Finally, LCM of Fractions for 30/498, 234/582, 715/154 is 6435.