Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 847/72, 4728/156 quickly i.e. 333718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 847/72, 4728/156 is 333718.
LCM(847/72, 4728/156) = 333718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 847/72,4728/156
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 847,4728
Least Common Multiple of Numerators i.e. LCM of 847,4728 is 4004616.
GCF of Denominators means GCF of 72,156 as per the given fractions.
GCF of 72,156 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 847,4728
Given numbers has no common factors except 1. So, there LCM is their product i.e 4004616
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 847,4728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,4728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,4728) x common factors =1 x 1 = 1
LCM(847,4728) = ( 847 × 4728 ) / 1
LCM(847,4728) = 4004616 / 1
LCM(847,4728) = 4004616
Lets's calculate GCF of 72,156
2 | 72, 156 |
2 | 36, 78 |
3 | 18, 39 |
6, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4004616/12
Therefore the LCM of Fractions 847/72,4728/156 is 333718
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 72,156 . The biggest common factor number is the GCF number.
So the greatest common factor 72,156 is 12.
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 847/72, 4728/156?
Answer: LCM of Numerators as per given numbers 847/72, 4728/156 is
LCM of Numerators i.e. for 847,4728 is 4004616
GCF of denominators i.e. for 72,156 is 12.
Thus, LCM of Fractions is 333718.Finally, LCM of Fractions for 847/72, 4728/156 is 333718.