Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 187/48, 652/24, 679/159 quickly i.e. 82786396/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 187/48, 652/24, 679/159 is 82786396/3.
LCM(187/48, 652/24, 679/159) = 82786396/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 187/48,652/24,679/159
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 187,652,679
Least Common Multiple of Numerators i.e. LCM of 187,652,679 is 82786396.
GCF of Denominators means GCF of 48,24,159 as per the given fractions.
GCF of 48,24,159 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 187,652,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 82786396
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 187,652,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,652,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,652,679) x common factors =1 x 1 = 1
LCM(187,652,679) = ( 187 × 652 × 679 ) / 1
LCM(187,652,679) = 82786396 / 1
LCM(187,652,679) = 82786396
Lets's calculate GCF of 48,24,159
3 | 48, 24, 159 |
16, 8, 53 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82786396/3
Therefore the LCM of Fractions 187/48,652/24,679/159 is 82786396/3
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 48,24,159 . The biggest common factor number is the GCF number.
So the greatest common factor 48,24,159 is 3.
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 187/48, 652/24, 679/159?
Answer: LCM of Numerators as per given numbers 187/48, 652/24, 679/159 is
LCM of Numerators i.e. for 187,652,679 is 82786396
GCF of denominators i.e. for 48,24,159 is 3.
Thus, LCM of Fractions is 82786396/3.Finally, LCM of Fractions for 187/48, 652/24, 679/159 is 82786396/3.