Least Common Multiple of 137/84, 219/4752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 137/84, 219/4752 quickly i.e. 30003/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/84, 219/4752 is 30003/12.

LCM(137/84, 219/4752) = 30003/12

LCM of 137/84, 219/4752

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 137/84,219/4752

Given numbers are 137/84,219/4752

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 137,219

Least Common Multiple of Numerators i.e. LCM of 137,219 is 30003.

GCF of Denominators means GCF of 84,4752 as per the given fractions.

GCF of 84,4752 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,219

LCM of Fractions 137/84,219/4752 is 30003/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 30003

Least Common Multiple of 137,219 with GCF Formula

Least Common Multiple of 137,219 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 137,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,219) = 1

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

GCF(137,219) x common factors =1 x 1 = 1

LCM(137,219) = ( 137 × 219 ) / 1

LCM(137,219) = 30003 / 1

LCM(137,219) = 30003


Lets's calculate GCF of 84,4752

2 84, 4752
2 42, 2376
3 21, 1188
7, 396

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30003/12

Therefore the LCM of Fractions 137/84,219/4752 is 30003/12

Greatest Common Factor of 84,4752 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,4752 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752

Greatest Common Factor

We found the factors 84,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 84,4752 is 12.


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 137/84, 219/4752

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 137/84, 219/4752?

Answer: LCM of Numerators as per given numbers 137/84, 219/4752 is

LCM of Numerators i.e. for 137,219 is 30003

GCF of denominators i.e. for 84,4752 is 12.

Thus, LCM of Fractions is 30003/12.Finally, LCM of Fractions for 137/84, 219/4752 is 30003/12.