Least Common Multiple of 30/126, 504/835, 567/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/126, 504/835, 567/984 quickly i.e. 22680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/126, 504/835, 567/984 is 22680.

LCM(30/126, 504/835, 567/984) = 22680

LCM of 30/126, 504/835, 567/984

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 30/126,504/835,567/984

Given numbers are 30/126,504/835,567/984

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 30,504,567

Least Common Multiple of Numerators i.e. LCM of 30,504,567 is 22680.

GCF of Denominators means GCF of 126,835,984 as per the given fractions.

GCF of 126,835,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,504,567

LCM of Fractions 30/126,504/835,567/984 is 22680

2 30, 504, 567
3 15, 252, 567
3 5, 84, 189
7 5, 28, 63
5, 4, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 4 x 9 = 22680

Least Common Multiple of 30,504,567 with GCF Formula

Least Common Multiple of 30,504,567 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 30,504,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,504,567) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(30,504,567) x common factors =3 x 126 = 378

LCM(30,504,567) = ( 30 × 504 × 567 ) / 378

LCM(30,504,567) = 8573040 / 378

LCM(30,504,567) = 22680


Lets's calculate GCF of 126,835,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22680/1

Therefore the LCM of Fractions 30/126,504/835,567/984 is 22680

Greatest Common Factor of 126,835,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,835,984 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 126,835,984 . The biggest common factor number is the GCF number.
So the greatest common factor 126,835,984 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 30/126, 504/835, 567/984

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 30/126, 504/835, 567/984?

Answer: LCM of Numerators as per given numbers 30/126, 504/835, 567/984 is

LCM of Numerators i.e. for 30,504,567 is 22680

GCF of denominators i.e. for 126,835,984 is 1.

Thus, LCM of Fractions is 22680.Finally, LCM of Fractions for 30/126, 504/835, 567/984 is 22680.