Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/37, 482/79, 968/665 quickly i.e. 233288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/37, 482/79, 968/665 is 233288.
LCM(22/37, 482/79, 968/665) = 233288
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/37,482/79,968/665
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 22,482,968
Least Common Multiple of Numerators i.e. LCM of 22,482,968 is 233288.
GCF of Denominators means GCF of 37,79,665 as per the given fractions.
GCF of 37,79,665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,482,968
2 | 22, 482, 968 |
11 | 11, 241, 484 |
1, 241, 44 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 241 x 44 = 233288
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 22,482,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,482,968) = 2
common factors(in case of two or more numbers have common factors) = 22
GCF(22,482,968) x common factors =2 x 22 = 44
LCM(22,482,968) = ( 22 × 482 × 968 ) / 44
LCM(22,482,968) = 10264672 / 44
LCM(22,482,968) = 233288
Lets's calculate GCF of 37,79,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233288/1
Therefore the LCM of Fractions 22/37,482/79,968/665 is 233288
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 37,79,665 . The biggest common factor number is the GCF number.
So the greatest common factor 37,79,665 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 22/37, 482/79, 968/665?
Answer: LCM of Numerators as per given numbers 22/37, 482/79, 968/665 is
LCM of Numerators i.e. for 22,482,968 is 233288
GCF of denominators i.e. for 37,79,665 is 1.
Thus, LCM of Fractions is 233288.Finally, LCM of Fractions for 22/37, 482/79, 968/665 is 233288.