Least Common Multiple of 60/374, 48/544, 300/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/374, 48/544, 300/436 quickly i.e. 600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/374, 48/544, 300/436 is 600.

LCM(60/374, 48/544, 300/436) = 600

LCM of 60/374, 48/544, 300/436

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 60/374,48/544,300/436

Given numbers are 60/374,48/544,300/436

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 60,48,300

Least Common Multiple of Numerators i.e. LCM of 60,48,300 is 1200.

GCF of Denominators means GCF of 374,544,436 as per the given fractions.

GCF of 374,544,436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,48,300

LCM of Fractions 60/374,48/544,300/436 is 600

2 60, 48, 300
2 30, 24, 150
3 15, 12, 75
5 5, 4, 25
1, 4, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 4 x 5 = 1200

Least Common Multiple of 60,48,300 with GCF Formula

Least Common Multiple of 60,48,300 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 60,48,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,48,300) = 12

common factors(in case of two or more numbers have common factors) = 60

GCF(60,48,300) x common factors =12 x 60 = 720

LCM(60,48,300) = ( 60 × 48 × 300 ) / 720

LCM(60,48,300) = 864000 / 720

LCM(60,48,300) = 1200


Lets's calculate GCF of 374,544,436

2 374, 544, 436
187, 272, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200/2

Therefore the LCM of Fractions 60/374,48/544,300/436 is 600

Greatest Common Factor of 374,544,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,544,436 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 374,544,436 . The biggest common factor number is the GCF number.
So the greatest common factor 374,544,436 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 60/374, 48/544, 300/436

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 60/374, 48/544, 300/436?

Answer: LCM of Numerators as per given numbers 60/374, 48/544, 300/436 is

LCM of Numerators i.e. for 60,48,300 is 1200

GCF of denominators i.e. for 374,544,436 is 2.

Thus, LCM of Fractions is 600.Finally, LCM of Fractions for 60/374, 48/544, 300/436 is 600.