Least Common Multiple of 30/60, 22/41, 74/83, 64/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/60, 22/41, 74/83, 64/640 quickly i.e. 390720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/60, 22/41, 74/83, 64/640 is 390720.

LCM(30/60, 22/41, 74/83, 64/640) = 390720

LCM of 30/60, 22/41, 74/83, 64/640

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 30/60,22/41,74/83,64/640

Given numbers are 30/60,22/41,74/83,64/640

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 30,22,74,64

Least Common Multiple of Numerators i.e. LCM of 30,22,74,64 is 390720.

GCF of Denominators means GCF of 60,41,83,640 as per the given fractions.

GCF of 60,41,83,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,22,74,64

LCM of Fractions 30/60,22/41,74/83,64/640 is 390720

2 30, 22, 74, 64
15, 11, 37, 32

∴ So the LCM of the given numbers is 2 x 15 x 11 x 37 x 32 = 390720

Least Common Multiple of 30,22,74,64 with GCF Formula

Least Common Multiple of 30,22,74,64 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 30,22,74,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,22,74,64) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(30,22,74,64) x common factors =2 x 4 = 8

LCM(30,22,74,64) = ( 30 × 22 × 74 × 64 ) / 8

LCM(30,22,74,64) = 3125760 / 8

LCM(30,22,74,64) = 390720


Lets's calculate GCF of 60,41,83,640

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390720/1

Therefore the LCM of Fractions 30/60,22/41,74/83,64/640 is 390720

Greatest Common Factor of 60,41,83,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,41,83,640 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 60,41,83,640 . The biggest common factor number is the GCF number.
So the greatest common factor 60,41,83,640 is 1.


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 30/60, 22/41, 74/83, 64/640

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 30/60, 22/41, 74/83, 64/640?

Answer: LCM of Numerators as per given numbers 30/60, 22/41, 74/83, 64/640 is

LCM of Numerators i.e. for 30,22,74,64 is 390720

GCF of denominators i.e. for 60,41,83,640 is 1.

Thus, LCM of Fractions is 390720.Finally, LCM of Fractions for 30/60, 22/41, 74/83, 64/640 is 390720.