Least Common Multiple of 909/713, 222/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 909/713, 222/992 quickly i.e. 67266/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/713, 222/992 is 67266/31.

LCM(909/713, 222/992) = 67266/31

LCM of 909/713, 222/992

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 909/713,222/992

Given numbers are 909/713,222/992

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 909,222

Least Common Multiple of Numerators i.e. LCM of 909,222 is 67266.

GCF of Denominators means GCF of 713,992 as per the given fractions.

GCF of 713,992 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,222

LCM of Fractions 909/713,222/992 is 67266/31

3 909, 222
303, 74

∴ So the LCM of the given numbers is 3 x 303 x 74 = 67266

Least Common Multiple of 909,222 with GCF Formula

Least Common Multiple of 909,222 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 909,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,222) = 3

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

GCF(909,222) x common factors =3 x 1 = 3

LCM(909,222) = ( 909 × 222 ) / 3

LCM(909,222) = 201798 / 3

LCM(909,222) = 67266


Lets's calculate GCF of 713,992

31 713, 992
23, 32

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67266/31

Therefore the LCM of Fractions 909/713,222/992 is 67266/31

Greatest Common Factor of 713,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,992 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 713,992 . The biggest common factor number is the GCF number.
So the greatest common factor 713,992 is 31.


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 909/713, 222/992

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 909/713, 222/992?

Answer: LCM of Numerators as per given numbers 909/713, 222/992 is

LCM of Numerators i.e. for 909,222 is 67266

GCF of denominators i.e. for 713,992 is 31.

Thus, LCM of Fractions is 67266/31.Finally, LCM of Fractions for 909/713, 222/992 is 67266/31.