Least Common Multiple of 5738/530, 6345/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5738/530, 6345/146 quickly i.e. 18203805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5738/530, 6345/146 is 18203805.

LCM(5738/530, 6345/146) = 18203805

LCM of 5738/530, 6345/146

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 5738/530,6345/146

Given numbers are 5738/530,6345/146

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 5738,6345

Least Common Multiple of Numerators i.e. LCM of 5738,6345 is 36407610.

GCF of Denominators means GCF of 530,146 as per the given fractions.

GCF of 530,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5738,6345

LCM of Fractions 5738/530,6345/146 is 18203805

Given numbers has no common factors except 1. So, there LCM is their product i.e 36407610

Least Common Multiple of 5738,6345 with GCF Formula

Least Common Multiple of 5738,6345 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 5738,6345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5738,6345) = 1

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

GCF(5738,6345) x common factors =1 x 1 = 1

LCM(5738,6345) = ( 5738 × 6345 ) / 1

LCM(5738,6345) = 36407610 / 1

LCM(5738,6345) = 36407610


Lets's calculate GCF of 530,146

2 530, 146
265, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36407610/2

Therefore the LCM of Fractions 5738/530,6345/146 is 18203805

Greatest Common Factor of 530,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,146 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 530,146 . The biggest common factor number is the GCF number.
So the greatest common factor 530,146 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 5738/530, 6345/146

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 5738/530, 6345/146?

Answer: LCM of Numerators as per given numbers 5738/530, 6345/146 is

LCM of Numerators i.e. for 5738,6345 is 36407610

GCF of denominators i.e. for 530,146 is 2.

Thus, LCM of Fractions is 18203805.Finally, LCM of Fractions for 5738/530, 6345/146 is 18203805.