Least Common Multiple of 512/758, 8088/4001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/758, 8088/4001 quickly i.e. 517632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/758, 8088/4001 is 517632.

LCM(512/758, 8088/4001) = 517632

LCM of 512/758, 8088/4001

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 512/758,8088/4001

Given numbers are 512/758,8088/4001

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 512,8088

Least Common Multiple of Numerators i.e. LCM of 512,8088 is 517632.

GCF of Denominators means GCF of 758,4001 as per the given fractions.

GCF of 758,4001 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,8088

LCM of Fractions 512/758,8088/4001 is 517632

2 512, 8088
2 256, 4044
2 128, 2022
64, 1011

∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 1011 = 517632

Least Common Multiple of 512,8088 with GCF Formula

Least Common Multiple of 512,8088 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 512,8088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,8088) = 8

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

GCF(512,8088) x common factors =8 x 1 = 8

LCM(512,8088) = ( 512 × 8088 ) / 8

LCM(512,8088) = 4141056 / 8

LCM(512,8088) = 517632


Lets's calculate GCF of 758,4001

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517632/1

Therefore the LCM of Fractions 512/758,8088/4001 is 517632

Greatest Common Factor of 758,4001 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,4001 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1,4001

Greatest Common Factor

We found the factors 758,4001 . The biggest common factor number is the GCF number.
So the greatest common factor 758,4001 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 512/758, 8088/4001

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 512/758, 8088/4001?

Answer: LCM of Numerators as per given numbers 512/758, 8088/4001 is

LCM of Numerators i.e. for 512,8088 is 517632

GCF of denominators i.e. for 758,4001 is 1.

Thus, LCM of Fractions is 517632.Finally, LCM of Fractions for 512/758, 8088/4001 is 517632.