Least Common Multiple of 37/84, 647/40, 549/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/84, 647/40, 549/213 quickly i.e. 13142511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/84, 647/40, 549/213 is 13142511.

LCM(37/84, 647/40, 549/213) = 13142511

LCM of 37/84, 647/40, 549/213

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 37/84,647/40,549/213

Given numbers are 37/84,647/40,549/213

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 37,647,549

Least Common Multiple of Numerators i.e. LCM of 37,647,549 is 13142511.

GCF of Denominators means GCF of 84,40,213 as per the given fractions.

GCF of 84,40,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,647,549

LCM of Fractions 37/84,647/40,549/213 is 13142511

Given numbers has no common factors except 1. So, there LCM is their product i.e 13142511

Least Common Multiple of 37,647,549 with GCF Formula

Least Common Multiple of 37,647,549 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 37,647,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,647,549) = 1

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

GCF(37,647,549) x common factors =1 x 1 = 1

LCM(37,647,549) = ( 37 × 647 × 549 ) / 1

LCM(37,647,549) = 13142511 / 1

LCM(37,647,549) = 13142511


Lets's calculate GCF of 84,40,213

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13142511/1

Therefore the LCM of Fractions 37/84,647/40,549/213 is 13142511

Greatest Common Factor of 84,40,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,40,213 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 84,40,213 . The biggest common factor number is the GCF number.
So the greatest common factor 84,40,213 is 1.


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 37/84, 647/40, 549/213

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 37/84, 647/40, 549/213?

Answer: LCM of Numerators as per given numbers 37/84, 647/40, 549/213 is

LCM of Numerators i.e. for 37,647,549 is 13142511

GCF of denominators i.e. for 84,40,213 is 1.

Thus, LCM of Fractions is 13142511.Finally, LCM of Fractions for 37/84, 647/40, 549/213 is 13142511.