Least Common Multiple of 345/457, 7324/6289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/457, 7324/6289 quickly i.e. 2526780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/457, 7324/6289 is 2526780.

LCM(345/457, 7324/6289) = 2526780

LCM of 345/457, 7324/6289

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 345/457,7324/6289

Given numbers are 345/457,7324/6289

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 345,7324

Least Common Multiple of Numerators i.e. LCM of 345,7324 is 2526780.

GCF of Denominators means GCF of 457,6289 as per the given fractions.

GCF of 457,6289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,7324

LCM of Fractions 345/457,7324/6289 is 2526780

Given numbers has no common factors except 1. So, there LCM is their product i.e 2526780

Least Common Multiple of 345,7324 with GCF Formula

Least Common Multiple of 345,7324 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 345,7324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,7324) = 1

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

GCF(345,7324) x common factors =1 x 1 = 1

LCM(345,7324) = ( 345 × 7324 ) / 1

LCM(345,7324) = 2526780 / 1

LCM(345,7324) = 2526780


Lets's calculate GCF of 457,6289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2526780/1

Therefore the LCM of Fractions 345/457,7324/6289 is 2526780

Greatest Common Factor of 457,6289 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,6289 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 6289

List of positive integer factors of 6289 that divides 6289 without a remainder.

1,19,331,6289

Greatest Common Factor

We found the factors 457,6289 . The biggest common factor number is the GCF number.
So the greatest common factor 457,6289 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 345/457, 7324/6289

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 345/457, 7324/6289?

Answer: LCM of Numerators as per given numbers 345/457, 7324/6289 is

LCM of Numerators i.e. for 345,7324 is 2526780

GCF of denominators i.e. for 457,6289 is 1.

Thus, LCM of Fractions is 2526780.Finally, LCM of Fractions for 345/457, 7324/6289 is 2526780.