Least Common Multiple of 400/460, 929/614, 122/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/460, 929/614, 122/720 quickly i.e. 11333800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/460, 929/614, 122/720 is 11333800.

LCM(400/460, 929/614, 122/720) = 11333800

LCM of 400/460, 929/614, 122/720

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 400/460,929/614,122/720

Given numbers are 400/460,929/614,122/720

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 400,929,122

Least Common Multiple of Numerators i.e. LCM of 400,929,122 is 22667600.

GCF of Denominators means GCF of 460,614,720 as per the given fractions.

GCF of 460,614,720 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,929,122

LCM of Fractions 400/460,929/614,122/720 is 11333800

2 400, 929, 122
200, 929, 61

∴ So the LCM of the given numbers is 2 x 200 x 929 x 61 = 22667600

Least Common Multiple of 400,929,122 with GCF Formula

Least Common Multiple of 400,929,122 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 400,929,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,929,122) = 1

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

GCF(400,929,122) x common factors =1 x 2 = 2

LCM(400,929,122) = ( 400 × 929 × 122 ) / 2

LCM(400,929,122) = 45335200 / 2

LCM(400,929,122) = 22667600


Lets's calculate GCF of 460,614,720

2 460, 614, 720
230, 307, 360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22667600/2

Therefore the LCM of Fractions 400/460,929/614,122/720 is 11333800

Greatest Common Factor of 460,614,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,614,720 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

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

Greatest Common Factor

We found the factors 460,614,720 . The biggest common factor number is the GCF number.
So the greatest common factor 460,614,720 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 400/460, 929/614, 122/720

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 400/460, 929/614, 122/720?

Answer: LCM of Numerators as per given numbers 400/460, 929/614, 122/720 is

LCM of Numerators i.e. for 400,929,122 is 22667600

GCF of denominators i.e. for 460,614,720 is 2.

Thus, LCM of Fractions is 11333800.Finally, LCM of Fractions for 400/460, 929/614, 122/720 is 11333800.