Least Common Multiple of 59/300, 42/762, 184/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/300, 42/762, 184/420 quickly i.e. 37996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/300, 42/762, 184/420 is 37996.

LCM(59/300, 42/762, 184/420) = 37996

LCM of 59/300, 42/762, 184/420

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 59/300,42/762,184/420

Given numbers are 59/300,42/762,184/420

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 59,42,184

Least Common Multiple of Numerators i.e. LCM of 59,42,184 is 227976.

GCF of Denominators means GCF of 300,762,420 as per the given fractions.

GCF of 300,762,420 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,42,184

LCM of Fractions 59/300,42/762,184/420 is 37996

2 59, 42, 184
59, 21, 92

∴ So the LCM of the given numbers is 2 x 59 x 21 x 92 = 227976

Least Common Multiple of 59,42,184 with GCF Formula

Least Common Multiple of 59,42,184 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 59,42,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,42,184) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,42,184) x common factors =1 x 2 = 2

LCM(59,42,184) = ( 59 × 42 × 184 ) / 2

LCM(59,42,184) = 455952 / 2

LCM(59,42,184) = 227976


Lets's calculate GCF of 300,762,420

2 300, 762, 420
3 150, 381, 210
50, 127, 70

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227976/6

Therefore the LCM of Fractions 59/300,42/762,184/420 is 37996

Greatest Common Factor of 300,762,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,762,420 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 300,762,420 . The biggest common factor number is the GCF number.
So the greatest common factor 300,762,420 is 6.


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 59/300, 42/762, 184/420

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 59/300, 42/762, 184/420?

Answer: LCM of Numerators as per given numbers 59/300, 42/762, 184/420 is

LCM of Numerators i.e. for 59,42,184 is 227976

GCF of denominators i.e. for 300,762,420 is 6.

Thus, LCM of Fractions is 37996.Finally, LCM of Fractions for 59/300, 42/762, 184/420 is 37996.