Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/174, 55/647, 888/852 quickly i.e. 48840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/174, 55/647, 888/852 is 48840.
LCM(12/174, 55/647, 888/852) = 48840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/174,55/647,888/852
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 12,55,888
Least Common Multiple of Numerators i.e. LCM of 12,55,888 is 48840.
GCF of Denominators means GCF of 174,647,852 as per the given fractions.
GCF of 174,647,852 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,55,888
2 | 12, 55, 888 |
2 | 6, 55, 444 |
3 | 3, 55, 222 |
1, 55, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 55 x 74 = 48840
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 12,55,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,55,888) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(12,55,888) x common factors =1 x 12 = 12
LCM(12,55,888) = ( 12 × 55 × 888 ) / 12
LCM(12,55,888) = 586080 / 12
LCM(12,55,888) = 48840
Lets's calculate GCF of 174,647,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48840/1
Therefore the LCM of Fractions 12/174,55/647,888/852 is 48840
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 174,647,852 . The biggest common factor number is the GCF number.
So the greatest common factor 174,647,852 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 12/174, 55/647, 888/852?
Answer: LCM of Numerators as per given numbers 12/174, 55/647, 888/852 is
LCM of Numerators i.e. for 12,55,888 is 48840
GCF of denominators i.e. for 174,647,852 is 1.
Thus, LCM of Fractions is 48840.Finally, LCM of Fractions for 12/174, 55/647, 888/852 is 48840.