Least Common Multiple of 180/24, 449/48, 636/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/24, 449/48, 636/370 quickly i.e. 2141730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/24, 449/48, 636/370 is 2141730.

LCM(180/24, 449/48, 636/370) = 2141730

LCM of 180/24, 449/48, 636/370

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 180/24,449/48,636/370

Given numbers are 180/24,449/48,636/370

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 180,449,636

Least Common Multiple of Numerators i.e. LCM of 180,449,636 is 4283460.

GCF of Denominators means GCF of 24,48,370 as per the given fractions.

GCF of 24,48,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,449,636

LCM of Fractions 180/24,449/48,636/370 is 2141730

2 180, 449, 636
2 90, 449, 318
3 45, 449, 159
15, 449, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 15 x 449 x 53 = 4283460

Least Common Multiple of 180,449,636 with GCF Formula

Least Common Multiple of 180,449,636 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 180,449,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,449,636) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(180,449,636) x common factors =1 x 12 = 12

LCM(180,449,636) = ( 180 × 449 × 636 ) / 12

LCM(180,449,636) = 51401520 / 12

LCM(180,449,636) = 4283460


Lets's calculate GCF of 24,48,370

2 24, 48, 370
12, 24, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4283460/2

Therefore the LCM of Fractions 180/24,449/48,636/370 is 2141730

Greatest Common Factor of 24,48,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,48,370 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 24,48,370 . The biggest common factor number is the GCF number.
So the greatest common factor 24,48,370 is 2.


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 180/24, 449/48, 636/370

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 180/24, 449/48, 636/370?

Answer: LCM of Numerators as per given numbers 180/24, 449/48, 636/370 is

LCM of Numerators i.e. for 180,449,636 is 4283460

GCF of denominators i.e. for 24,48,370 is 2.

Thus, LCM of Fractions is 2141730.Finally, LCM of Fractions for 180/24, 449/48, 636/370 is 2141730.