Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/46, 87/32, 91/30, 56/114 quickly i.e. 2691780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/46, 87/32, 91/30, 56/114 is 2691780.
LCM(85/46, 87/32, 91/30, 56/114) = 2691780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/46,87/32,91/30,56/114
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 85,87,91,56
Least Common Multiple of Numerators i.e. LCM of 85,87,91,56 is 5383560.
GCF of Denominators means GCF of 46,32,30,114 as per the given fractions.
GCF of 46,32,30,114 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,87,91,56
7 | 85, 87, 91, 56 |
85, 87, 13, 8 |
∴ So the LCM of the given numbers is 7 x 85 x 87 x 13 x 8 = 5383560
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 85,87,91,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,87,91,56) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(85,87,91,56) x common factors =1 x 7 = 7
LCM(85,87,91,56) = ( 85 × 87 × 91 × 56 ) / 7
LCM(85,87,91,56) = 37684920 / 7
LCM(85,87,91,56) = 5383560
Lets's calculate GCF of 46,32,30,114
2 | 46, 32, 30, 114 |
23, 16, 15, 57 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5383560/2
Therefore the LCM of Fractions 85/46,87/32,91/30,56/114 is 2691780
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
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 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 46,32,30,114 . The biggest common factor number is the GCF number.
So the greatest common factor 46,32,30,114 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 85/46, 87/32, 91/30, 56/114?
Answer: LCM of Numerators as per given numbers 85/46, 87/32, 91/30, 56/114 is
LCM of Numerators i.e. for 85,87,91,56 is 5383560
GCF of denominators i.e. for 46,32,30,114 is 2.
Thus, LCM of Fractions is 2691780.Finally, LCM of Fractions for 85/46, 87/32, 91/30, 56/114 is 2691780.