Least Common Multiple of 5437/429, 8513/7258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5437/429, 8513/7258 quickly i.e. 46285181 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5437/429, 8513/7258 is 46285181.

LCM(5437/429, 8513/7258) = 46285181

LCM of 5437/429, 8513/7258

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 5437/429,8513/7258

Given numbers are 5437/429,8513/7258

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 5437,8513

Least Common Multiple of Numerators i.e. LCM of 5437,8513 is 46285181.

GCF of Denominators means GCF of 429,7258 as per the given fractions.

GCF of 429,7258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5437,8513

LCM of Fractions 5437/429,8513/7258 is 46285181

Given numbers has no common factors except 1. So, there LCM is their product i.e 46285181

Least Common Multiple of 5437,8513 with GCF Formula

Least Common Multiple of 5437,8513 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 5437,8513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5437,8513) = 1

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

GCF(5437,8513) x common factors =1 x 1 = 1

LCM(5437,8513) = ( 5437 × 8513 ) / 1

LCM(5437,8513) = 46285181 / 1

LCM(5437,8513) = 46285181


Lets's calculate GCF of 429,7258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46285181/1

Therefore the LCM of Fractions 5437/429,8513/7258 is 46285181

Greatest Common Factor of 429,7258 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,7258 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 7258

List of positive integer factors of 7258 that divides 7258 without a remainder.

1,2,19,38,191,382,3629,7258

Greatest Common Factor

We found the factors 429,7258 . The biggest common factor number is the GCF number.
So the greatest common factor 429,7258 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 5437/429, 8513/7258

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 5437/429, 8513/7258?

Answer: LCM of Numerators as per given numbers 5437/429, 8513/7258 is

LCM of Numerators i.e. for 5437,8513 is 46285181

GCF of denominators i.e. for 429,7258 is 1.

Thus, LCM of Fractions is 46285181.Finally, LCM of Fractions for 5437/429, 8513/7258 is 46285181.