Least Common Multiple of 68/723, 83/880, 230/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/723, 83/880, 230/299 quickly i.e. 649060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/723, 83/880, 230/299 is 649060.

LCM(68/723, 83/880, 230/299) = 649060

LCM of 68/723, 83/880, 230/299

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 68/723,83/880,230/299

Given numbers are 68/723,83/880,230/299

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 68,83,230

Least Common Multiple of Numerators i.e. LCM of 68,83,230 is 649060.

GCF of Denominators means GCF of 723,880,299 as per the given fractions.

GCF of 723,880,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,83,230

LCM of Fractions 68/723,83/880,230/299 is 649060

2 68, 83, 230
34, 83, 115

∴ So the LCM of the given numbers is 2 x 34 x 83 x 115 = 649060

Least Common Multiple of 68,83,230 with GCF Formula

Least Common Multiple of 68,83,230 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 68,83,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,83,230) = 1

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

GCF(68,83,230) x common factors =1 x 2 = 2

LCM(68,83,230) = ( 68 × 83 × 230 ) / 2

LCM(68,83,230) = 1298120 / 2

LCM(68,83,230) = 649060


Lets's calculate GCF of 723,880,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649060/1

Therefore the LCM of Fractions 68/723,83/880,230/299 is 649060

Greatest Common Factor of 723,880,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,880,299 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 723,880,299 . The biggest common factor number is the GCF number.
So the greatest common factor 723,880,299 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 68/723, 83/880, 230/299

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 68/723, 83/880, 230/299?

Answer: LCM of Numerators as per given numbers 68/723, 83/880, 230/299 is

LCM of Numerators i.e. for 68,83,230 is 649060

GCF of denominators i.e. for 723,880,299 is 1.

Thus, LCM of Fractions is 649060.Finally, LCM of Fractions for 68/723, 83/880, 230/299 is 649060.