Least Common Multiple of 650/30, 569/32, 352/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 650/30, 569/32, 352/862 quickly i.e. 32546800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/30, 569/32, 352/862 is 32546800.

LCM(650/30, 569/32, 352/862) = 32546800

LCM of 650/30, 569/32, 352/862

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 650/30,569/32,352/862

Given numbers are 650/30,569/32,352/862

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 650,569,352

Least Common Multiple of Numerators i.e. LCM of 650,569,352 is 65093600.

GCF of Denominators means GCF of 30,32,862 as per the given fractions.

GCF of 30,32,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,569,352

LCM of Fractions 650/30,569/32,352/862 is 32546800

2 650, 569, 352
325, 569, 176

∴ So the LCM of the given numbers is 2 x 325 x 569 x 176 = 65093600

Least Common Multiple of 650,569,352 with GCF Formula

Least Common Multiple of 650,569,352 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 650,569,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,569,352) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(650,569,352) x common factors =1 x 2 = 2

LCM(650,569,352) = ( 650 × 569 × 352 ) / 2

LCM(650,569,352) = 130187200 / 2

LCM(650,569,352) = 65093600


Lets's calculate GCF of 30,32,862

2 30, 32, 862
15, 16, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65093600/2

Therefore the LCM of Fractions 650/30,569/32,352/862 is 32546800

Greatest Common Factor of 30,32,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,32,862 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 30,32,862 . The biggest common factor number is the GCF number.
So the greatest common factor 30,32,862 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 650/30, 569/32, 352/862

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 650/30, 569/32, 352/862?

Answer: LCM of Numerators as per given numbers 650/30, 569/32, 352/862 is

LCM of Numerators i.e. for 650,569,352 is 65093600

GCF of denominators i.e. for 30,32,862 is 2.

Thus, LCM of Fractions is 32546800.Finally, LCM of Fractions for 650/30, 569/32, 352/862 is 32546800.