Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/84, 87/46, 87/47, 232/64 quickly i.e. 7656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/84, 87/46, 87/47, 232/64 is 7656.
LCM(88/84, 87/46, 87/47, 232/64) = 7656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/84,87/46,87/47,232/64
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 88,87,87,232
Least Common Multiple of Numerators i.e. LCM of 88,87,87,232 is 7656.
GCF of Denominators means GCF of 84,46,47,64 as per the given fractions.
GCF of 84,46,47,64 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,87,87,232
2 | 88, 87, 87, 232 |
2 | 44, 87, 87, 116 |
2 | 22, 87, 87, 58 |
3 | 11, 87, 87, 29 |
29 | 11, 29, 29, 29 |
11, 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 11 x 1 x 1 x 1 = 7656
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 88,87,87,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,87,87,232) = 1
common factors(in case of two or more numbers have common factors) = 20184
GCF(88,87,87,232) x common factors =1 x 20184 = 20184
LCM(88,87,87,232) = ( 88 × 87 × 87 × 232 ) / 20184
LCM(88,87,87,232) = 154528704 / 20184
LCM(88,87,87,232) = 7656
Lets's calculate GCF of 84,46,47,64
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7656/1
Therefore the LCM of Fractions 88/84,87/46,87/47,232/64 is 7656
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Greatest Common Factor
We found the factors 84,46,47,64 . The biggest common factor number is the GCF number.
So the greatest common factor 84,46,47,64 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 88/84, 87/46, 87/47, 232/64?
Answer: LCM of Numerators as per given numbers 88/84, 87/46, 87/47, 232/64 is
LCM of Numerators i.e. for 88,87,87,232 is 7656
GCF of denominators i.e. for 84,46,47,64 is 1.
Thus, LCM of Fractions is 7656.Finally, LCM of Fractions for 88/84, 87/46, 87/47, 232/64 is 7656.