Least Common Multiple of 6678/257, 7316/4624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6678/257, 7316/4624 quickly i.e. 24428124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6678/257, 7316/4624 is 24428124.

LCM(6678/257, 7316/4624) = 24428124

LCM of 6678/257, 7316/4624

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 6678/257,7316/4624

Given numbers are 6678/257,7316/4624

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 6678,7316

Least Common Multiple of Numerators i.e. LCM of 6678,7316 is 24428124.

GCF of Denominators means GCF of 257,4624 as per the given fractions.

GCF of 257,4624 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6678,7316

LCM of Fractions 6678/257,7316/4624 is 24428124

2 6678, 7316
3339, 3658

∴ So the LCM of the given numbers is 2 x 3339 x 3658 = 24428124

Least Common Multiple of 6678,7316 with GCF Formula

Least Common Multiple of 6678,7316 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 6678,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6678,7316) = 2

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

GCF(6678,7316) x common factors =2 x 1 = 2

LCM(6678,7316) = ( 6678 × 7316 ) / 2

LCM(6678,7316) = 48856248 / 2

LCM(6678,7316) = 24428124


Lets's calculate GCF of 257,4624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24428124/1

Therefore the LCM of Fractions 6678/257,7316/4624 is 24428124

Greatest Common Factor of 257,4624 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,4624 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 4624

List of positive integer factors of 4624 that divides 4624 without a remainder.

1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624

Greatest Common Factor

We found the factors 257,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 257,4624 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 6678/257, 7316/4624

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 6678/257, 7316/4624?

Answer: LCM of Numerators as per given numbers 6678/257, 7316/4624 is

LCM of Numerators i.e. for 6678,7316 is 24428124

GCF of denominators i.e. for 257,4624 is 1.

Thus, LCM of Fractions is 24428124.Finally, LCM of Fractions for 6678/257, 7316/4624 is 24428124.