Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/89, 23/40, 20/47, 58/318 quickly i.e. 253460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/89, 23/40, 20/47, 58/318 is 253460.
LCM(76/89, 23/40, 20/47, 58/318) = 253460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/89,23/40,20/47,58/318
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 76,23,20,58
Least Common Multiple of Numerators i.e. LCM of 76,23,20,58 is 253460.
GCF of Denominators means GCF of 89,40,47,318 as per the given fractions.
GCF of 89,40,47,318 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,23,20,58
2 | 76, 23, 20, 58 |
2 | 38, 23, 10, 29 |
19, 23, 5, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 23 x 5 x 29 = 253460
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 76,23,20,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,23,20,58) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(76,23,20,58) x common factors =1 x 8 = 8
LCM(76,23,20,58) = ( 76 × 23 × 20 × 58 ) / 8
LCM(76,23,20,58) = 2027680 / 8
LCM(76,23,20,58) = 253460
Lets's calculate GCF of 89,40,47,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253460/1
Therefore the LCM of Fractions 76/89,23/40,20/47,58/318 is 253460
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 89,40,47,318 . The biggest common factor number is the GCF number.
So the greatest common factor 89,40,47,318 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 76/89, 23/40, 20/47, 58/318?
Answer: LCM of Numerators as per given numbers 76/89, 23/40, 20/47, 58/318 is
LCM of Numerators i.e. for 76,23,20,58 is 253460
GCF of denominators i.e. for 89,40,47,318 is 1.
Thus, LCM of Fractions is 253460.Finally, LCM of Fractions for 76/89, 23/40, 20/47, 58/318 is 253460.