Least Common Multiple of 688/732, 483/100, 230/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/732, 483/100, 230/502 quickly i.e. 830760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/732, 483/100, 230/502 is 830760.

LCM(688/732, 483/100, 230/502) = 830760

LCM of 688/732, 483/100, 230/502

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 688/732,483/100,230/502

Given numbers are 688/732,483/100,230/502

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 688,483,230

Least Common Multiple of Numerators i.e. LCM of 688,483,230 is 1661520.

GCF of Denominators means GCF of 732,100,502 as per the given fractions.

GCF of 732,100,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,483,230

LCM of Fractions 688/732,483/100,230/502 is 830760

2 688, 483, 230
23 344, 483, 115
344, 21, 5

∴ So the LCM of the given numbers is 2 x 23 x 344 x 21 x 5 = 1661520

Least Common Multiple of 688,483,230 with GCF Formula

Least Common Multiple of 688,483,230 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 688,483,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,483,230) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(688,483,230) x common factors =1 x 46 = 46

LCM(688,483,230) = ( 688 × 483 × 230 ) / 46

LCM(688,483,230) = 76429920 / 46

LCM(688,483,230) = 1661520


Lets's calculate GCF of 732,100,502

2 732, 100, 502
366, 50, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1661520/2

Therefore the LCM of Fractions 688/732,483/100,230/502 is 830760

Greatest Common Factor of 732,100,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,100,502 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 732,100,502 . The biggest common factor number is the GCF number.
So the greatest common factor 732,100,502 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 688/732, 483/100, 230/502

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 688/732, 483/100, 230/502?

Answer: LCM of Numerators as per given numbers 688/732, 483/100, 230/502 is

LCM of Numerators i.e. for 688,483,230 is 1661520

GCF of denominators i.e. for 732,100,502 is 2.

Thus, LCM of Fractions is 830760.Finally, LCM of Fractions for 688/732, 483/100, 230/502 is 830760.