Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/597, 96/147, 671/598 quickly i.e. 64416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/597, 96/147, 671/598 is 64416.
LCM(22/597, 96/147, 671/598) = 64416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/597,96/147,671/598
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 22,96,671
Least Common Multiple of Numerators i.e. LCM of 22,96,671 is 64416.
GCF of Denominators means GCF of 597,147,598 as per the given fractions.
GCF of 597,147,598 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,96,671
2 | 22, 96, 671 |
11 | 11, 48, 671 |
1, 48, 61 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 48 x 61 = 64416
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 22,96,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,96,671) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(22,96,671) x common factors =1 x 22 = 22
LCM(22,96,671) = ( 22 × 96 × 671 ) / 22
LCM(22,96,671) = 1417152 / 22
LCM(22,96,671) = 64416
Lets's calculate GCF of 597,147,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64416/1
Therefore the LCM of Fractions 22/597,96/147,671/598 is 64416
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 597,147,598 . The biggest common factor number is the GCF number.
So the greatest common factor 597,147,598 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 22/597, 96/147, 671/598?
Answer: LCM of Numerators as per given numbers 22/597, 96/147, 671/598 is
LCM of Numerators i.e. for 22,96,671 is 64416
GCF of denominators i.e. for 597,147,598 is 1.
Thus, LCM of Fractions is 64416.Finally, LCM of Fractions for 22/597, 96/147, 671/598 is 64416.