Least Common Multiple of 730/37, 300/72, 268/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/37, 300/72, 268/582 quickly i.e. 1467300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/37, 300/72, 268/582 is 1467300.

LCM(730/37, 300/72, 268/582) = 1467300

LCM of 730/37, 300/72, 268/582

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 730/37,300/72,268/582

Given numbers are 730/37,300/72,268/582

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 730,300,268

Least Common Multiple of Numerators i.e. LCM of 730,300,268 is 1467300.

GCF of Denominators means GCF of 37,72,582 as per the given fractions.

GCF of 37,72,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,300,268

LCM of Fractions 730/37,300/72,268/582 is 1467300

2 730, 300, 268
2 365, 150, 134
5 365, 75, 67
73, 15, 67

∴ So the LCM of the given numbers is 2 x 2 x 5 x 73 x 15 x 67 = 1467300

Least Common Multiple of 730,300,268 with GCF Formula

Least Common Multiple of 730,300,268 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 730,300,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,300,268) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(730,300,268) x common factors =2 x 20 = 40

LCM(730,300,268) = ( 730 × 300 × 268 ) / 40

LCM(730,300,268) = 58692000 / 40

LCM(730,300,268) = 1467300


Lets's calculate GCF of 37,72,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1467300/1

Therefore the LCM of Fractions 730/37,300/72,268/582 is 1467300

Greatest Common Factor of 37,72,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,72,582 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 582

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

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

Greatest Common Factor

We found the factors 37,72,582 . The biggest common factor number is the GCF number.
So the greatest common factor 37,72,582 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 730/37, 300/72, 268/582

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 730/37, 300/72, 268/582?

Answer: LCM of Numerators as per given numbers 730/37, 300/72, 268/582 is

LCM of Numerators i.e. for 730,300,268 is 1467300

GCF of denominators i.e. for 37,72,582 is 1.

Thus, LCM of Fractions is 1467300.Finally, LCM of Fractions for 730/37, 300/72, 268/582 is 1467300.