Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/59, 28/807, 143/994 quickly i.e. 8008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/59, 28/807, 143/994 is 8008.
LCM(88/59, 28/807, 143/994) = 8008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/59,28/807,143/994
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 88,28,143
Least Common Multiple of Numerators i.e. LCM of 88,28,143 is 8008.
GCF of Denominators means GCF of 59,807,994 as per the given fractions.
GCF of 59,807,994 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,28,143
2 | 88, 28, 143 |
2 | 44, 14, 143 |
11 | 22, 7, 143 |
2, 7, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 2 x 7 x 13 = 8008
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 88,28,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,28,143) = 1
common factors(in case of two or more numbers have common factors) = 44
GCF(88,28,143) x common factors =1 x 44 = 44
LCM(88,28,143) = ( 88 × 28 × 143 ) / 44
LCM(88,28,143) = 352352 / 44
LCM(88,28,143) = 8008
Lets's calculate GCF of 59,807,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8008/1
Therefore the LCM of Fractions 88/59,28/807,143/994 is 8008
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 59,807,994 . The biggest common factor number is the GCF number.
So the greatest common factor 59,807,994 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 88/59, 28/807, 143/994?
Answer: LCM of Numerators as per given numbers 88/59, 28/807, 143/994 is
LCM of Numerators i.e. for 88,28,143 is 8008
GCF of denominators i.e. for 59,807,994 is 1.
Thus, LCM of Fractions is 8008.Finally, LCM of Fractions for 88/59, 28/807, 143/994 is 8008.