Least Common Multiple of 537/34, 146/3652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/34, 146/3652 quickly i.e. 39201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/34, 146/3652 is 39201.

LCM(537/34, 146/3652) = 39201

LCM of 537/34, 146/3652

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 537/34,146/3652

Given numbers are 537/34,146/3652

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 537,146

Least Common Multiple of Numerators i.e. LCM of 537,146 is 78402.

GCF of Denominators means GCF of 34,3652 as per the given fractions.

GCF of 34,3652 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,146

LCM of Fractions 537/34,146/3652 is 39201

Given numbers has no common factors except 1. So, there LCM is their product i.e 78402

Least Common Multiple of 537,146 with GCF Formula

Least Common Multiple of 537,146 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 537,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,146) = 1

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

GCF(537,146) x common factors =1 x 1 = 1

LCM(537,146) = ( 537 × 146 ) / 1

LCM(537,146) = 78402 / 1

LCM(537,146) = 78402


Lets's calculate GCF of 34,3652

2 34, 3652
17, 1826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78402/2

Therefore the LCM of Fractions 537/34,146/3652 is 39201

Greatest Common Factor of 34,3652 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,3652 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 3652

List of positive integer factors of 3652 that divides 3652 without a remainder.

1,2,4,11,22,44,83,166,332,913,1826,3652

Greatest Common Factor

We found the factors 34,3652 . The biggest common factor number is the GCF number.
So the greatest common factor 34,3652 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 537/34, 146/3652

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 537/34, 146/3652?

Answer: LCM of Numerators as per given numbers 537/34, 146/3652 is

LCM of Numerators i.e. for 537,146 is 78402

GCF of denominators i.e. for 34,3652 is 2.

Thus, LCM of Fractions is 39201.Finally, LCM of Fractions for 537/34, 146/3652 is 39201.