Least Common Multiple of 84/150, 7204/4368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/150, 7204/4368 quickly i.e. 25214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/150, 7204/4368 is 25214.

LCM(84/150, 7204/4368) = 25214

LCM of 84/150, 7204/4368

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 84/150,7204/4368

Given numbers are 84/150,7204/4368

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 84,7204

Least Common Multiple of Numerators i.e. LCM of 84,7204 is 151284.

GCF of Denominators means GCF of 150,4368 as per the given fractions.

GCF of 150,4368 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,7204

LCM of Fractions 84/150,7204/4368 is 25214

2 84, 7204
2 42, 3602
21, 1801

∴ So the LCM of the given numbers is 2 x 2 x 21 x 1801 = 151284

Least Common Multiple of 84,7204 with GCF Formula

Least Common Multiple of 84,7204 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 84,7204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,7204) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(84,7204) x common factors =4 x 1 = 4

LCM(84,7204) = ( 84 × 7204 ) / 4

LCM(84,7204) = 605136 / 4

LCM(84,7204) = 151284


Lets's calculate GCF of 150,4368

2 150, 4368
3 75, 2184
25, 728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151284/6

Therefore the LCM of Fractions 84/150,7204/4368 is 25214

Greatest Common Factor of 150,4368 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,4368 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 4368

List of positive integer factors of 4368 that divides 4368 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368

Greatest Common Factor

We found the factors 150,4368 . The biggest common factor number is the GCF number.
So the greatest common factor 150,4368 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 84/150, 7204/4368

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 84/150, 7204/4368?

Answer: LCM of Numerators as per given numbers 84/150, 7204/4368 is

LCM of Numerators i.e. for 84,7204 is 151284

GCF of denominators i.e. for 150,4368 is 6.

Thus, LCM of Fractions is 25214.Finally, LCM of Fractions for 84/150, 7204/4368 is 25214.