Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/975, 57/539, 572/165 quickly i.e. 32604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/975, 57/539, 572/165 is 32604.
LCM(78/975, 57/539, 572/165) = 32604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/975,57/539,572/165
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 78,57,572
Least Common Multiple of Numerators i.e. LCM of 78,57,572 is 32604.
GCF of Denominators means GCF of 975,539,165 as per the given fractions.
GCF of 975,539,165 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,57,572
2 | 78, 57, 572 |
3 | 39, 57, 286 |
13 | 13, 19, 286 |
1, 19, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 19 x 22 = 32604
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 78,57,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,57,572) = 1
common factors(in case of two or more numbers have common factors) = 78
GCF(78,57,572) x common factors =1 x 78 = 78
LCM(78,57,572) = ( 78 × 57 × 572 ) / 78
LCM(78,57,572) = 2543112 / 78
LCM(78,57,572) = 32604
Lets's calculate GCF of 975,539,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32604/1
Therefore the LCM of Fractions 78/975,57/539,572/165 is 32604
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 975,539,165 . The biggest common factor number is the GCF number.
So the greatest common factor 975,539,165 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 78/975, 57/539, 572/165?
Answer: LCM of Numerators as per given numbers 78/975, 57/539, 572/165 is
LCM of Numerators i.e. for 78,57,572 is 32604
GCF of denominators i.e. for 975,539,165 is 1.
Thus, LCM of Fractions is 32604.Finally, LCM of Fractions for 78/975, 57/539, 572/165 is 32604.