Least Common Multiple of 30/743, 506/36, 288/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/743, 506/36, 288/639 quickly i.e. 364320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/743, 506/36, 288/639 is 364320.

LCM(30/743, 506/36, 288/639) = 364320

LCM of 30/743, 506/36, 288/639

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 30/743,506/36,288/639

Given numbers are 30/743,506/36,288/639

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 30,506,288

Least Common Multiple of Numerators i.e. LCM of 30,506,288 is 364320.

GCF of Denominators means GCF of 743,36,639 as per the given fractions.

GCF of 743,36,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,506,288

LCM of Fractions 30/743,506/36,288/639 is 364320

2 30, 506, 288
3 15, 253, 144
5, 253, 48

∴ So the LCM of the given numbers is 2 x 3 x 5 x 253 x 48 = 364320

Least Common Multiple of 30,506,288 with GCF Formula

Least Common Multiple of 30,506,288 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 30,506,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,506,288) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,506,288) x common factors =2 x 6 = 12

LCM(30,506,288) = ( 30 × 506 × 288 ) / 12

LCM(30,506,288) = 4371840 / 12

LCM(30,506,288) = 364320


Lets's calculate GCF of 743,36,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364320/1

Therefore the LCM of Fractions 30/743,506/36,288/639 is 364320

Greatest Common Factor of 743,36,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,36,639 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 743,36,639 . The biggest common factor number is the GCF number.
So the greatest common factor 743,36,639 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 30/743, 506/36, 288/639

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 30/743, 506/36, 288/639?

Answer: LCM of Numerators as per given numbers 30/743, 506/36, 288/639 is

LCM of Numerators i.e. for 30,506,288 is 364320

GCF of denominators i.e. for 743,36,639 is 1.

Thus, LCM of Fractions is 364320.Finally, LCM of Fractions for 30/743, 506/36, 288/639 is 364320.