Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/61, 76/30, 18/39, 54/944 quickly i.e. 59508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/61, 76/30, 18/39, 54/944 is 59508.
LCM(87/61, 76/30, 18/39, 54/944) = 59508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/61,76/30,18/39,54/944
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 87,76,18,54
Least Common Multiple of Numerators i.e. LCM of 87,76,18,54 is 59508.
GCF of Denominators means GCF of 61,30,39,944 as per the given fractions.
GCF of 61,30,39,944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,76,18,54
2 | 87, 76, 18, 54 |
3 | 87, 38, 9, 27 |
3 | 29, 38, 3, 9 |
29, 38, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 38 x 1 x 3 = 59508
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 87,76,18,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,76,18,54) = 1
common factors(in case of two or more numbers have common factors) = 108
GCF(87,76,18,54) x common factors =1 x 108 = 108
LCM(87,76,18,54) = ( 87 × 76 × 18 × 54 ) / 108
LCM(87,76,18,54) = 6426864 / 108
LCM(87,76,18,54) = 59508
Lets's calculate GCF of 61,30,39,944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59508/1
Therefore the LCM of Fractions 87/61,76/30,18/39,54/944 is 59508
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 61,30,39,944 . The biggest common factor number is the GCF number.
So the greatest common factor 61,30,39,944 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 87/61, 76/30, 18/39, 54/944?
Answer: LCM of Numerators as per given numbers 87/61, 76/30, 18/39, 54/944 is
LCM of Numerators i.e. for 87,76,18,54 is 59508
GCF of denominators i.e. for 61,30,39,944 is 1.
Thus, LCM of Fractions is 59508.Finally, LCM of Fractions for 87/61, 76/30, 18/39, 54/944 is 59508.