Least Common Multiple of 72/902, 73/289, 730/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/902, 73/289, 730/926 quickly i.e. 26280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/902, 73/289, 730/926 is 26280.

LCM(72/902, 73/289, 730/926) = 26280

LCM of 72/902, 73/289, 730/926

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 72/902,73/289,730/926

Given numbers are 72/902,73/289,730/926

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 72,73,730

Least Common Multiple of Numerators i.e. LCM of 72,73,730 is 26280.

GCF of Denominators means GCF of 902,289,926 as per the given fractions.

GCF of 902,289,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,73,730

LCM of Fractions 72/902,73/289,730/926 is 26280

2 72, 73, 730
73 36, 73, 365
36, 1, 5

∴ So the LCM of the given numbers is 2 x 73 x 36 x 1 x 5 = 26280

Least Common Multiple of 72,73,730 with GCF Formula

Least Common Multiple of 72,73,730 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 72,73,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,73,730) = 1

common factors(in case of two or more numbers have common factors) = 146

GCF(72,73,730) x common factors =1 x 146 = 146

LCM(72,73,730) = ( 72 × 73 × 730 ) / 146

LCM(72,73,730) = 3836880 / 146

LCM(72,73,730) = 26280


Lets's calculate GCF of 902,289,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26280/1

Therefore the LCM of Fractions 72/902,73/289,730/926 is 26280

Greatest Common Factor of 902,289,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,289,926 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 902,289,926 . The biggest common factor number is the GCF number.
So the greatest common factor 902,289,926 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 72/902, 73/289, 730/926

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 72/902, 73/289, 730/926?

Answer: LCM of Numerators as per given numbers 72/902, 73/289, 730/926 is

LCM of Numerators i.e. for 72,73,730 is 26280

GCF of denominators i.e. for 902,289,926 is 1.

Thus, LCM of Fractions is 26280.Finally, LCM of Fractions for 72/902, 73/289, 730/926 is 26280.