Least Common Multiple of 79/440, 620/90, 827/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/440, 620/90, 827/502 quickly i.e. 20253230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/440, 620/90, 827/502 is 20253230.

LCM(79/440, 620/90, 827/502) = 20253230

LCM of 79/440, 620/90, 827/502

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 79/440,620/90,827/502

Given numbers are 79/440,620/90,827/502

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 79,620,827

Least Common Multiple of Numerators i.e. LCM of 79,620,827 is 40506460.

GCF of Denominators means GCF of 440,90,502 as per the given fractions.

GCF of 440,90,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,620,827

LCM of Fractions 79/440,620/90,827/502 is 20253230

Given numbers has no common factors except 1. So, there LCM is their product i.e 40506460

Least Common Multiple of 79,620,827 with GCF Formula

Least Common Multiple of 79,620,827 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 79,620,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,620,827) = 1

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

GCF(79,620,827) x common factors =1 x 1 = 1

LCM(79,620,827) = ( 79 × 620 × 827 ) / 1

LCM(79,620,827) = 40506460 / 1

LCM(79,620,827) = 40506460


Lets's calculate GCF of 440,90,502

2 440, 90, 502
220, 45, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40506460/2

Therefore the LCM of Fractions 79/440,620/90,827/502 is 20253230

Greatest Common Factor of 440,90,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,90,502 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 440,90,502 . The biggest common factor number is the GCF number.
So the greatest common factor 440,90,502 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 79/440, 620/90, 827/502

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 79/440, 620/90, 827/502?

Answer: LCM of Numerators as per given numbers 79/440, 620/90, 827/502 is

LCM of Numerators i.e. for 79,620,827 is 40506460

GCF of denominators i.e. for 440,90,502 is 2.

Thus, LCM of Fractions is 20253230.Finally, LCM of Fractions for 79/440, 620/90, 827/502 is 20253230.