Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/46, 775/80, 615/62 quickly i.e. 90844725/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/46, 775/80, 615/62 is 90844725/2.
LCM(953/46, 775/80, 615/62) = 90844725/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/46,775/80,615/62
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 953,775,615
Least Common Multiple of Numerators i.e. LCM of 953,775,615 is 90844725.
GCF of Denominators means GCF of 46,80,62 as per the given fractions.
GCF of 46,80,62 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,775,615
5 | 953, 775, 615 |
953, 155, 123 |
∴ So the LCM of the given numbers is 5 x 953 x 155 x 123 = 90844725
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 953,775,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,775,615) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(953,775,615) x common factors =1 x 5 = 5
LCM(953,775,615) = ( 953 × 775 × 615 ) / 5
LCM(953,775,615) = 454223625 / 5
LCM(953,775,615) = 90844725
Lets's calculate GCF of 46,80,62
2 | 46, 80, 62 |
23, 40, 31 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90844725/2
Therefore the LCM of Fractions 953/46,775/80,615/62 is 90844725/2
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Greatest Common Factor
We found the factors 46,80,62 . The biggest common factor number is the GCF number.
So the greatest common factor 46,80,62 is 2.
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 953/46, 775/80, 615/62?
Answer: LCM of Numerators as per given numbers 953/46, 775/80, 615/62 is
LCM of Numerators i.e. for 953,775,615 is 90844725
GCF of denominators i.e. for 46,80,62 is 2.
Thus, LCM of Fractions is 90844725/2.Finally, LCM of Fractions for 953/46, 775/80, 615/62 is 90844725/2.