Least Common Multiple of 712/909, 492/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/909, 492/120 quickly i.e. 29192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/909, 492/120 is 29192.

LCM(712/909, 492/120) = 29192

LCM of 712/909, 492/120

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 712/909,492/120

Given numbers are 712/909,492/120

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 712,492

Least Common Multiple of Numerators i.e. LCM of 712,492 is 87576.

GCF of Denominators means GCF of 909,120 as per the given fractions.

GCF of 909,120 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,492

LCM of Fractions 712/909,492/120 is 29192

2 712, 492
2 356, 246
178, 123

∴ So the LCM of the given numbers is 2 x 2 x 178 x 123 = 87576

Least Common Multiple of 712,492 with GCF Formula

Least Common Multiple of 712,492 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 712,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,492) = 4

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

GCF(712,492) x common factors =4 x 1 = 4

LCM(712,492) = ( 712 × 492 ) / 4

LCM(712,492) = 350304 / 4

LCM(712,492) = 87576


Lets's calculate GCF of 909,120

3 909, 120
303, 40

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87576/3

Therefore the LCM of Fractions 712/909,492/120 is 29192

Greatest Common Factor of 909,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,120 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 909,120 . The biggest common factor number is the GCF number.
So the greatest common factor 909,120 is 3.


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 712/909, 492/120

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 712/909, 492/120?

Answer: LCM of Numerators as per given numbers 712/909, 492/120 is

LCM of Numerators i.e. for 712,492 is 87576

GCF of denominators i.e. for 909,120 is 3.

Thus, LCM of Fractions is 29192.Finally, LCM of Fractions for 712/909, 492/120 is 29192.