Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 790/16, 316/7079 quickly i.e. 1580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 790/16, 316/7079 is 1580.
LCM(790/16, 316/7079) = 1580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 790/16,316/7079
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 790,316
Least Common Multiple of Numerators i.e. LCM of 790,316 is 1580.
GCF of Denominators means GCF of 16,7079 as per the given fractions.
GCF of 16,7079 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 790,316
2 | 790, 316 |
79 | 395, 158 |
5, 2 |
∴ So the LCM of the given numbers is 2 x 79 x 5 x 2 = 1580
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 790,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,316) = 158
common factors(in case of two or more numbers have common factors) = 1
GCF(790,316) x common factors =158 x 1 = 158
LCM(790,316) = ( 790 × 316 ) / 158
LCM(790,316) = 249640 / 158
LCM(790,316) = 1580
Lets's calculate GCF of 16,7079
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1580/1
Therefore the LCM of Fractions 790/16,316/7079 is 1580
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 7079
List of positive integer factors of 7079 that divides 7079 without a remainder.
1,7079
Greatest Common Factor
We found the factors 16,7079 . The biggest common factor number is the GCF number.
So the greatest common factor 16,7079 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 790/16, 316/7079?
Answer: LCM of Numerators as per given numbers 790/16, 316/7079 is
LCM of Numerators i.e. for 790,316 is 1580
GCF of denominators i.e. for 16,7079 is 1.
Thus, LCM of Fractions is 1580.Finally, LCM of Fractions for 790/16, 316/7079 is 1580.