Least Common Multiple of 492/720, 6430/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/720, 6430/756 quickly i.e. 1581780/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/720, 6430/756 is 1581780/36.

LCM(492/720, 6430/756) = 1581780/36

LCM of 492/720, 6430/756

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 492/720,6430/756

Given numbers are 492/720,6430/756

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 492,6430

Least Common Multiple of Numerators i.e. LCM of 492,6430 is 1581780.

GCF of Denominators means GCF of 720,756 as per the given fractions.

GCF of 720,756 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,6430

LCM of Fractions 492/720,6430/756 is 1581780/36

2 492, 6430
246, 3215

∴ So the LCM of the given numbers is 2 x 246 x 3215 = 1581780

Least Common Multiple of 492,6430 with GCF Formula

Least Common Multiple of 492,6430 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 492,6430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,6430) = 2

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

GCF(492,6430) x common factors =2 x 1 = 2

LCM(492,6430) = ( 492 × 6430 ) / 2

LCM(492,6430) = 3163560 / 2

LCM(492,6430) = 1581780


Lets's calculate GCF of 720,756

2 720, 756
2 360, 378
3 180, 189
3 60, 63
20, 21

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1581780/36

Therefore the LCM of Fractions 492/720,6430/756 is 1581780/36

Greatest Common Factor of 720,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,756 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 720,756 . The biggest common factor number is the GCF number.
So the greatest common factor 720,756 is 36.


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 492/720, 6430/756

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 492/720, 6430/756?

Answer: LCM of Numerators as per given numbers 492/720, 6430/756 is

LCM of Numerators i.e. for 492,6430 is 1581780

GCF of denominators i.e. for 720,756 is 36.

Thus, LCM of Fractions is 1581780/36.Finally, LCM of Fractions for 492/720, 6430/756 is 1581780/36.