Least Common Multiple of 800/13, 512/71, 542/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/13, 512/71, 542/695 quickly i.e. 3468800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/13, 512/71, 542/695 is 3468800.

LCM(800/13, 512/71, 542/695) = 3468800

LCM of 800/13, 512/71, 542/695

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 800/13,512/71,542/695

Given numbers are 800/13,512/71,542/695

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 800,512,542

Least Common Multiple of Numerators i.e. LCM of 800,512,542 is 3468800.

GCF of Denominators means GCF of 13,71,695 as per the given fractions.

GCF of 13,71,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,512,542

LCM of Fractions 800/13,512/71,542/695 is 3468800

2 800, 512, 542
2 400, 256, 271
2 200, 128, 271
2 100, 64, 271
2 50, 32, 271
25, 16, 271

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 25 x 16 x 271 = 3468800

Least Common Multiple of 800,512,542 with GCF Formula

Least Common Multiple of 800,512,542 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 800,512,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,512,542) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(800,512,542) x common factors =2 x 32 = 64

LCM(800,512,542) = ( 800 × 512 × 542 ) / 64

LCM(800,512,542) = 222003200 / 64

LCM(800,512,542) = 3468800


Lets's calculate GCF of 13,71,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3468800/1

Therefore the LCM of Fractions 800/13,512/71,542/695 is 3468800

Greatest Common Factor of 13,71,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,71,695 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 13,71,695 . The biggest common factor number is the GCF number.
So the greatest common factor 13,71,695 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 800/13, 512/71, 542/695

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 800/13, 512/71, 542/695?

Answer: LCM of Numerators as per given numbers 800/13, 512/71, 542/695 is

LCM of Numerators i.e. for 800,512,542 is 3468800

GCF of denominators i.e. for 13,71,695 is 1.

Thus, LCM of Fractions is 3468800.Finally, LCM of Fractions for 800/13, 512/71, 542/695 is 3468800.