Least Common Multiple of 2537/536, 7182/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2537/536, 7182/536 quickly i.e. 18220734/536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2537/536, 7182/536 is 18220734/536.

LCM(2537/536, 7182/536) = 18220734/536

LCM of 2537/536, 7182/536

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 2537/536,7182/536

Given numbers are 2537/536,7182/536

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 2537,7182

Least Common Multiple of Numerators i.e. LCM of 2537,7182 is 18220734.

GCF of Denominators means GCF of 536,536 as per the given fractions.

GCF of 536,536 is 536 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2537,7182

LCM of Fractions 2537/536,7182/536 is 18220734/536

Given numbers has no common factors except 1. So, there LCM is their product i.e 18220734

Least Common Multiple of 2537,7182 with GCF Formula

Least Common Multiple of 2537,7182 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 2537,7182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2537,7182) = 1

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

GCF(2537,7182) x common factors =1 x 1 = 1

LCM(2537,7182) = ( 2537 × 7182 ) / 1

LCM(2537,7182) = 18220734 / 1

LCM(2537,7182) = 18220734


Lets's calculate GCF of 536,536

2 536, 536
2 268, 268
2 134, 134
67 67, 67
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 2 x 67 = 536

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18220734/536

Therefore the LCM of Fractions 2537/536,7182/536 is 18220734/536

Greatest Common Factor of 536,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,536 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 536,536 . The biggest common factor number is the GCF number.
So the greatest common factor 536,536 is 536.


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 2537/536, 7182/536

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 2537/536, 7182/536?

Answer: LCM of Numerators as per given numbers 2537/536, 7182/536 is

LCM of Numerators i.e. for 2537,7182 is 18220734

GCF of denominators i.e. for 536,536 is 536.

Thus, LCM of Fractions is 18220734/536.Finally, LCM of Fractions for 2537/536, 7182/536 is 18220734/536.