Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 916/815, 4550/795 quickly i.e. 416780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 916/815, 4550/795 is 416780.
LCM(916/815, 4550/795) = 416780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 916/815,4550/795
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 916,4550
Least Common Multiple of Numerators i.e. LCM of 916,4550 is 2083900.
GCF of Denominators means GCF of 815,795 as per the given fractions.
GCF of 815,795 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 916,4550
2 | 916, 4550 |
458, 2275 |
∴ So the LCM of the given numbers is 2 x 458 x 2275 = 2083900
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 916,4550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,4550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,4550) x common factors =2 x 1 = 2
LCM(916,4550) = ( 916 × 4550 ) / 2
LCM(916,4550) = 4167800 / 2
LCM(916,4550) = 2083900
Lets's calculate GCF of 815,795
5 | 815, 795 |
163, 159 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2083900/5
Therefore the LCM of Fractions 916/815,4550/795 is 416780
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 815,795 . The biggest common factor number is the GCF number.
So the greatest common factor 815,795 is 5.
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 916/815, 4550/795?
Answer: LCM of Numerators as per given numbers 916/815, 4550/795 is
LCM of Numerators i.e. for 916,4550 is 2083900
GCF of denominators i.e. for 815,795 is 5.
Thus, LCM of Fractions is 416780.Finally, LCM of Fractions for 916/815, 4550/795 is 416780.