Least Common Multiple of 578/35, 136/69, 800/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/35, 136/69, 800/613 quickly i.e. 231200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/35, 136/69, 800/613 is 231200.

LCM(578/35, 136/69, 800/613) = 231200

LCM of 578/35, 136/69, 800/613

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 578/35,136/69,800/613

Given numbers are 578/35,136/69,800/613

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 578,136,800

Least Common Multiple of Numerators i.e. LCM of 578,136,800 is 231200.

GCF of Denominators means GCF of 35,69,613 as per the given fractions.

GCF of 35,69,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,136,800

LCM of Fractions 578/35,136/69,800/613 is 231200

2 578, 136, 800
2 289, 68, 400
2 289, 34, 200
17 289, 17, 100
1, 17, 100

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 17 x 100 = 231200

Least Common Multiple of 578,136,800 with GCF Formula

Least Common Multiple of 578,136,800 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 578,136,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,136,800) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(578,136,800) x common factors =2 x 136 = 272

LCM(578,136,800) = ( 578 × 136 × 800 ) / 272

LCM(578,136,800) = 62886400 / 272

LCM(578,136,800) = 231200


Lets's calculate GCF of 35,69,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231200/1

Therefore the LCM of Fractions 578/35,136/69,800/613 is 231200

Greatest Common Factor of 35,69,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,69,613 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 35,69,613 . The biggest common factor number is the GCF number.
So the greatest common factor 35,69,613 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 578/35, 136/69, 800/613

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 578/35, 136/69, 800/613?

Answer: LCM of Numerators as per given numbers 578/35, 136/69, 800/613 is

LCM of Numerators i.e. for 578,136,800 is 231200

GCF of denominators i.e. for 35,69,613 is 1.

Thus, LCM of Fractions is 231200.Finally, LCM of Fractions for 578/35, 136/69, 800/613 is 231200.