Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/79, 76/64, 80/378 quickly i.e. 10640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/79, 76/64, 80/378 is 10640.
LCM(35/79, 76/64, 80/378) = 10640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/79,76/64,80/378
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 35,76,80
Least Common Multiple of Numerators i.e. LCM of 35,76,80 is 10640.
GCF of Denominators means GCF of 79,64,378 as per the given fractions.
GCF of 79,64,378 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,76,80
2 | 35, 76, 80 |
2 | 35, 38, 40 |
5 | 35, 19, 20 |
7, 19, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 19 x 4 = 10640
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 35,76,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,76,80) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(35,76,80) x common factors =1 x 20 = 20
LCM(35,76,80) = ( 35 × 76 × 80 ) / 20
LCM(35,76,80) = 212800 / 20
LCM(35,76,80) = 10640
Lets's calculate GCF of 79,64,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10640/1
Therefore the LCM of Fractions 35/79,76/64,80/378 is 10640
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 79,64,378 . The biggest common factor number is the GCF number.
So the greatest common factor 79,64,378 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 35/79, 76/64, 80/378?
Answer: LCM of Numerators as per given numbers 35/79, 76/64, 80/378 is
LCM of Numerators i.e. for 35,76,80 is 10640
GCF of denominators i.e. for 79,64,378 is 1.
Thus, LCM of Fractions is 10640.Finally, LCM of Fractions for 35/79, 76/64, 80/378 is 10640.