Least Common Multiple of 720/92, 828/23, 920/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/92, 828/23, 920/621 quickly i.e. 720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/92, 828/23, 920/621 is 720.

LCM(720/92, 828/23, 920/621) = 720

LCM of 720/92, 828/23, 920/621

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 720/92,828/23,920/621

Given numbers are 720/92,828/23,920/621

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 720,828,920

Least Common Multiple of Numerators i.e. LCM of 720,828,920 is 16560.

GCF of Denominators means GCF of 92,23,621 as per the given fractions.

GCF of 92,23,621 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,828,920

LCM of Fractions 720/92,828/23,920/621 is 720

2 720, 828, 920
2 360, 414, 460
2 180, 207, 230
3 90, 207, 115
3 30, 69, 115
5 10, 23, 115
23 2, 23, 23
2, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 23 x 2 x 1 x 1 = 16560

Least Common Multiple of 720,828,920 with GCF Formula

Least Common Multiple of 720,828,920 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 720,828,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,828,920) = 4

common factors(in case of two or more numbers have common factors) = 8280

GCF(720,828,920) x common factors =4 x 8280 = 33120

LCM(720,828,920) = ( 720 × 828 × 920 ) / 33120

LCM(720,828,920) = 548467200 / 33120

LCM(720,828,920) = 16560


Lets's calculate GCF of 92,23,621

23 92, 23, 621
4, 1, 27

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16560/23

Therefore the LCM of Fractions 720/92,828/23,920/621 is 720

Greatest Common Factor of 92,23,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,23,621 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 92,23,621 . The biggest common factor number is the GCF number.
So the greatest common factor 92,23,621 is 23.


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 720/92, 828/23, 920/621

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 720/92, 828/23, 920/621?

Answer: LCM of Numerators as per given numbers 720/92, 828/23, 920/621 is

LCM of Numerators i.e. for 720,828,920 is 16560

GCF of denominators i.e. for 92,23,621 is 23.

Thus, LCM of Fractions is 720.Finally, LCM of Fractions for 720/92, 828/23, 920/621 is 720.