Least Common Multiple of 72/444, 48/900, 346/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/444, 48/900, 346/632 quickly i.e. 6228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/444, 48/900, 346/632 is 6228.

LCM(72/444, 48/900, 346/632) = 6228

LCM of 72/444, 48/900, 346/632

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 72/444,48/900,346/632

Given numbers are 72/444,48/900,346/632

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 72,48,346

Least Common Multiple of Numerators i.e. LCM of 72,48,346 is 24912.

GCF of Denominators means GCF of 444,900,632 as per the given fractions.

GCF of 444,900,632 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,48,346

LCM of Fractions 72/444,48/900,346/632 is 6228

2 72, 48, 346
2 36, 24, 173
2 18, 12, 173
3 9, 6, 173
3, 2, 173

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 173 = 24912

Least Common Multiple of 72,48,346 with GCF Formula

Least Common Multiple of 72,48,346 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 72,48,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,48,346) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(72,48,346) x common factors =2 x 24 = 48

LCM(72,48,346) = ( 72 × 48 × 346 ) / 48

LCM(72,48,346) = 1195776 / 48

LCM(72,48,346) = 24912


Lets's calculate GCF of 444,900,632

2 444, 900, 632
2 222, 450, 316
111, 225, 158

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24912/4

Therefore the LCM of Fractions 72/444,48/900,346/632 is 6228

Greatest Common Factor of 444,900,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,900,632 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 444,900,632 . The biggest common factor number is the GCF number.
So the greatest common factor 444,900,632 is 4.


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 72/444, 48/900, 346/632

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 72/444, 48/900, 346/632?

Answer: LCM of Numerators as per given numbers 72/444, 48/900, 346/632 is

LCM of Numerators i.e. for 72,48,346 is 24912

GCF of denominators i.e. for 444,900,632 is 4.

Thus, LCM of Fractions is 6228.Finally, LCM of Fractions for 72/444, 48/900, 346/632 is 6228.