Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 779/910, 946/390 quickly i.e. 736934/130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 779/910, 946/390 is 736934/130.
LCM(779/910, 946/390) = 736934/130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 779/910,946/390
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 779,946
Least Common Multiple of Numerators i.e. LCM of 779,946 is 736934.
GCF of Denominators means GCF of 910,390 as per the given fractions.
GCF of 910,390 is 130 as it is the largest common factor for these numbers.
Lets's calculate LCM of 779,946
Given numbers has no common factors except 1. So, there LCM is their product i.e 736934
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 779,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,946) x common factors =1 x 1 = 1
LCM(779,946) = ( 779 × 946 ) / 1
LCM(779,946) = 736934 / 1
LCM(779,946) = 736934
Lets's calculate GCF of 910,390
2 | 910, 390 |
5 | 455, 195 |
13 | 91, 39 |
7, 3 |
∴ So the GCF of the given numbers is 2 x 5 x 13 = 130
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736934/130
Therefore the LCM of Fractions 779/910,946/390 is 736934/130
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 910,390 . The biggest common factor number is the GCF number.
So the greatest common factor 910,390 is 130.
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 779/910, 946/390?
Answer: LCM of Numerators as per given numbers 779/910, 946/390 is
LCM of Numerators i.e. for 779,946 is 736934
GCF of denominators i.e. for 910,390 is 130.
Thus, LCM of Fractions is 736934/130.Finally, LCM of Fractions for 779/910, 946/390 is 736934/130.