Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/88, 27/153, 917/218 quickly i.e. 643734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/88, 27/153, 917/218 is 643734.
LCM(78/88, 27/153, 917/218) = 643734
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/88,27/153,917/218
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 78,27,917
Least Common Multiple of Numerators i.e. LCM of 78,27,917 is 643734.
GCF of Denominators means GCF of 88,153,218 as per the given fractions.
GCF of 88,153,218 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,27,917
3 | 78, 27, 917 |
26, 9, 917 |
∴ So the LCM of the given numbers is 3 x 26 x 9 x 917 = 643734
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 78,27,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,27,917) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(78,27,917) x common factors =1 x 3 = 3
LCM(78,27,917) = ( 78 × 27 × 917 ) / 3
LCM(78,27,917) = 1931202 / 3
LCM(78,27,917) = 643734
Lets's calculate GCF of 88,153,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643734/1
Therefore the LCM of Fractions 78/88,27/153,917/218 is 643734
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 88,153,218 . The biggest common factor number is the GCF number.
So the greatest common factor 88,153,218 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 78/88, 27/153, 917/218?
Answer: LCM of Numerators as per given numbers 78/88, 27/153, 917/218 is
LCM of Numerators i.e. for 78,27,917 is 643734
GCF of denominators i.e. for 88,153,218 is 1.
Thus, LCM of Fractions is 643734.Finally, LCM of Fractions for 78/88, 27/153, 917/218 is 643734.