Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/59, 54/688, 53/572 quickly i.e. 2862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/59, 54/688, 53/572 is 2862.
LCM(9/59, 54/688, 53/572) = 2862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/59,54/688,53/572
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 9,54,53
Least Common Multiple of Numerators i.e. LCM of 9,54,53 is 2862.
GCF of Denominators means GCF of 59,688,572 as per the given fractions.
GCF of 59,688,572 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,54,53
3 | 9, 54, 53 |
3 | 3, 18, 53 |
1, 6, 53 |
∴ So the LCM of the given numbers is 3 x 3 x 1 x 6 x 53 = 2862
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 9,54,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,54,53) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(9,54,53) x common factors =1 x 9 = 9
LCM(9,54,53) = ( 9 × 54 × 53 ) / 9
LCM(9,54,53) = 25758 / 9
LCM(9,54,53) = 2862
Lets's calculate GCF of 59,688,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2862/1
Therefore the LCM of Fractions 9/59,54/688,53/572 is 2862
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 59,688,572 . The biggest common factor number is the GCF number.
So the greatest common factor 59,688,572 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 9/59, 54/688, 53/572?
Answer: LCM of Numerators as per given numbers 9/59, 54/688, 53/572 is
LCM of Numerators i.e. for 9,54,53 is 2862
GCF of denominators i.e. for 59,688,572 is 1.
Thus, LCM of Fractions is 2862.Finally, LCM of Fractions for 9/59, 54/688, 53/572 is 2862.