Least Common Multiple of 21/984, 575/735, 306/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/984, 575/735, 306/149 quickly i.e. 1231650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/984, 575/735, 306/149 is 1231650.

LCM(21/984, 575/735, 306/149) = 1231650

LCM of 21/984, 575/735, 306/149

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 21/984,575/735,306/149

Given numbers are 21/984,575/735,306/149

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 21,575,306

Least Common Multiple of Numerators i.e. LCM of 21,575,306 is 1231650.

GCF of Denominators means GCF of 984,735,149 as per the given fractions.

GCF of 984,735,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,575,306

LCM of Fractions 21/984,575/735,306/149 is 1231650

3 21, 575, 306
7, 575, 102

∴ So the LCM of the given numbers is 3 x 7 x 575 x 102 = 1231650

Least Common Multiple of 21,575,306 with GCF Formula

Least Common Multiple of 21,575,306 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 21,575,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,575,306) = 1

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

GCF(21,575,306) x common factors =1 x 3 = 3

LCM(21,575,306) = ( 21 × 575 × 306 ) / 3

LCM(21,575,306) = 3694950 / 3

LCM(21,575,306) = 1231650


Lets's calculate GCF of 984,735,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1231650/1

Therefore the LCM of Fractions 21/984,575/735,306/149 is 1231650

Greatest Common Factor of 984,735,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,735,149 By Matching Biggest Common Factor Method

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

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 984,735,149 . The biggest common factor number is the GCF number.
So the greatest common factor 984,735,149 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 21/984, 575/735, 306/149

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 21/984, 575/735, 306/149?

Answer: LCM of Numerators as per given numbers 21/984, 575/735, 306/149 is

LCM of Numerators i.e. for 21,575,306 is 1231650

GCF of denominators i.e. for 984,735,149 is 1.

Thus, LCM of Fractions is 1231650.Finally, LCM of Fractions for 21/984, 575/735, 306/149 is 1231650.