Least Common Multiple of 6361/438, 5888/7768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6361/438, 5888/7768 quickly i.e. 18726784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6361/438, 5888/7768 is 18726784.

LCM(6361/438, 5888/7768) = 18726784

LCM of 6361/438, 5888/7768

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 6361/438,5888/7768

Given numbers are 6361/438,5888/7768

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 6361,5888

Least Common Multiple of Numerators i.e. LCM of 6361,5888 is 37453568.

GCF of Denominators means GCF of 438,7768 as per the given fractions.

GCF of 438,7768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6361,5888

LCM of Fractions 6361/438,5888/7768 is 18726784

Given numbers has no common factors except 1. So, there LCM is their product i.e 37453568

Least Common Multiple of 6361,5888 with GCF Formula

Least Common Multiple of 6361,5888 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 6361,5888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6361,5888) = 1

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

GCF(6361,5888) x common factors =1 x 1 = 1

LCM(6361,5888) = ( 6361 × 5888 ) / 1

LCM(6361,5888) = 37453568 / 1

LCM(6361,5888) = 37453568


Lets's calculate GCF of 438,7768

2 438, 7768
219, 3884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37453568/2

Therefore the LCM of Fractions 6361/438,5888/7768 is 18726784

Greatest Common Factor of 438,7768 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,7768 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1,2,4,8,971,1942,3884,7768

Greatest Common Factor

We found the factors 438,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 438,7768 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 6361/438, 5888/7768

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 6361/438, 5888/7768?

Answer: LCM of Numerators as per given numbers 6361/438, 5888/7768 is

LCM of Numerators i.e. for 6361,5888 is 37453568

GCF of denominators i.e. for 438,7768 is 2.

Thus, LCM of Fractions is 18726784.Finally, LCM of Fractions for 6361/438, 5888/7768 is 18726784.