Least Common Multiple of 72/148, 138/717, 446/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/148, 138/717, 446/240 quickly i.e. 369288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/148, 138/717, 446/240 is 369288.

LCM(72/148, 138/717, 446/240) = 369288

LCM of 72/148, 138/717, 446/240

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 72/148,138/717,446/240

Given numbers are 72/148,138/717,446/240

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 72,138,446

Least Common Multiple of Numerators i.e. LCM of 72,138,446 is 369288.

GCF of Denominators means GCF of 148,717,240 as per the given fractions.

GCF of 148,717,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,138,446

LCM of Fractions 72/148,138/717,446/240 is 369288

2 72, 138, 446
3 36, 69, 223
12, 23, 223

∴ So the LCM of the given numbers is 2 x 3 x 12 x 23 x 223 = 369288

Least Common Multiple of 72,138,446 with GCF Formula

Least Common Multiple of 72,138,446 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 72,138,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,138,446) = 2

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

GCF(72,138,446) x common factors =2 x 6 = 12

LCM(72,138,446) = ( 72 × 138 × 446 ) / 12

LCM(72,138,446) = 4431456 / 12

LCM(72,138,446) = 369288


Lets's calculate GCF of 148,717,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369288/1

Therefore the LCM of Fractions 72/148,138/717,446/240 is 369288

Greatest Common Factor of 148,717,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,717,240 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 148,717,240 . The biggest common factor number is the GCF number.
So the greatest common factor 148,717,240 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 72/148, 138/717, 446/240

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 72/148, 138/717, 446/240?

Answer: LCM of Numerators as per given numbers 72/148, 138/717, 446/240 is

LCM of Numerators i.e. for 72,138,446 is 369288

GCF of denominators i.e. for 148,717,240 is 1.

Thus, LCM of Fractions is 369288.Finally, LCM of Fractions for 72/148, 138/717, 446/240 is 369288.