Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 615/85, 456/25, 380/562 quickly i.e. 93480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 615/85, 456/25, 380/562 is 93480.
LCM(615/85, 456/25, 380/562) = 93480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 615/85,456/25,380/562
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 615,456,380
Least Common Multiple of Numerators i.e. LCM of 615,456,380 is 93480.
GCF of Denominators means GCF of 85,25,562 as per the given fractions.
GCF of 85,25,562 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 615,456,380
2 | 615, 456, 380 |
2 | 615, 228, 190 |
3 | 615, 114, 95 |
5 | 205, 38, 95 |
19 | 41, 38, 19 |
41, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 41 x 2 x 1 = 93480
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 615,456,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,456,380) = 1
common factors(in case of two or more numbers have common factors) = 1140
GCF(615,456,380) x common factors =1 x 1140 = 1140
LCM(615,456,380) = ( 615 × 456 × 380 ) / 1140
LCM(615,456,380) = 106567200 / 1140
LCM(615,456,380) = 93480
Lets's calculate GCF of 85,25,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93480/1
Therefore the LCM of Fractions 615/85,456/25,380/562 is 93480
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 85,25,562 . The biggest common factor number is the GCF number.
So the greatest common factor 85,25,562 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 615/85, 456/25, 380/562?
Answer: LCM of Numerators as per given numbers 615/85, 456/25, 380/562 is
LCM of Numerators i.e. for 615,456,380 is 93480
GCF of denominators i.e. for 85,25,562 is 1.
Thus, LCM of Fractions is 93480.Finally, LCM of Fractions for 615/85, 456/25, 380/562 is 93480.