Least Common Multiple of 30/722, 209/118, 463/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/722, 209/118, 463/250 quickly i.e. 1451505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/722, 209/118, 463/250 is 1451505.

LCM(30/722, 209/118, 463/250) = 1451505

LCM of 30/722, 209/118, 463/250

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 30/722,209/118,463/250

Given numbers are 30/722,209/118,463/250

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 30,209,463

Least Common Multiple of Numerators i.e. LCM of 30,209,463 is 2903010.

GCF of Denominators means GCF of 722,118,250 as per the given fractions.

GCF of 722,118,250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,209,463

LCM of Fractions 30/722,209/118,463/250 is 1451505

Given numbers has no common factors except 1. So, there LCM is their product i.e 2903010

Least Common Multiple of 30,209,463 with GCF Formula

Least Common Multiple of 30,209,463 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 30,209,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,209,463) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(30,209,463) x common factors =1 x 1 = 1

LCM(30,209,463) = ( 30 × 209 × 463 ) / 1

LCM(30,209,463) = 2903010 / 1

LCM(30,209,463) = 2903010


Lets's calculate GCF of 722,118,250

2 722, 118, 250
361, 59, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2903010/2

Therefore the LCM of Fractions 30/722,209/118,463/250 is 1451505

Greatest Common Factor of 722,118,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,118,250 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 722,118,250 . The biggest common factor number is the GCF number.
So the greatest common factor 722,118,250 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 30/722, 209/118, 463/250

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 30/722, 209/118, 463/250?

Answer: LCM of Numerators as per given numbers 30/722, 209/118, 463/250 is

LCM of Numerators i.e. for 30,209,463 is 2903010

GCF of denominators i.e. for 722,118,250 is 2.

Thus, LCM of Fractions is 1451505.Finally, LCM of Fractions for 30/722, 209/118, 463/250 is 1451505.