Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/60, 47/30, 38/68, 88/66 quickly i.e. 275044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/60, 47/30, 38/68, 88/66 is 275044.
LCM(77/60, 47/30, 38/68, 88/66) = 275044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/60,47/30,38/68,88/66
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 77,47,38,88
Least Common Multiple of Numerators i.e. LCM of 77,47,38,88 is 550088.
GCF of Denominators means GCF of 60,30,68,66 as per the given fractions.
GCF of 60,30,68,66 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,47,38,88
2 | 77, 47, 38, 88 |
11 | 77, 47, 19, 44 |
7, 47, 19, 4 |
∴ So the LCM of the given numbers is 2 x 11 x 7 x 47 x 19 x 4 = 550088
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 77,47,38,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,47,38,88) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(77,47,38,88) x common factors =1 x 22 = 22
LCM(77,47,38,88) = ( 77 × 47 × 38 × 88 ) / 22
LCM(77,47,38,88) = 12101936 / 22
LCM(77,47,38,88) = 550088
Lets's calculate GCF of 60,30,68,66
2 | 60, 30, 68, 66 |
30, 15, 34, 33 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550088/2
Therefore the LCM of Fractions 77/60,47/30,38/68,88/66 is 275044
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
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 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Greatest Common Factor
We found the factors 60,30,68,66 . The biggest common factor number is the GCF number.
So the greatest common factor 60,30,68,66 is 2.
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 77/60, 47/30, 38/68, 88/66?
Answer: LCM of Numerators as per given numbers 77/60, 47/30, 38/68, 88/66 is
LCM of Numerators i.e. for 77,47,38,88 is 550088
GCF of denominators i.e. for 60,30,68,66 is 2.
Thus, LCM of Fractions is 275044.Finally, LCM of Fractions for 77/60, 47/30, 38/68, 88/66 is 275044.