Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/122, 75/412, 316/387 quickly i.e. 23700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/122, 75/412, 316/387 is 23700.
LCM(79/122, 75/412, 316/387) = 23700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/122,75/412,316/387
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 79,75,316
Least Common Multiple of Numerators i.e. LCM of 79,75,316 is 23700.
GCF of Denominators means GCF of 122,412,387 as per the given fractions.
GCF of 122,412,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,75,316
79 | 79, 75, 316 |
1, 75, 4 |
∴ So the LCM of the given numbers is 79 x 1 x 75 x 4 = 23700
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 79,75,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,75,316) = 1
common factors(in case of two or more numbers have common factors) = 79
GCF(79,75,316) x common factors =1 x 79 = 79
LCM(79,75,316) = ( 79 × 75 × 316 ) / 79
LCM(79,75,316) = 1872300 / 79
LCM(79,75,316) = 23700
Lets's calculate GCF of 122,412,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23700/1
Therefore the LCM of Fractions 79/122,75/412,316/387 is 23700
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 122,412,387 . The biggest common factor number is the GCF number.
So the greatest common factor 122,412,387 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 79/122, 75/412, 316/387?
Answer: LCM of Numerators as per given numbers 79/122, 75/412, 316/387 is
LCM of Numerators i.e. for 79,75,316 is 23700
GCF of denominators i.e. for 122,412,387 is 1.
Thus, LCM of Fractions is 23700.Finally, LCM of Fractions for 79/122, 75/412, 316/387 is 23700.