Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/622, 815/949, 532/382 quickly i.e. 1300740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/622, 815/949, 532/382 is 1300740.
LCM(60/622, 815/949, 532/382) = 1300740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/622,815/949,532/382
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 60,815,532
Least Common Multiple of Numerators i.e. LCM of 60,815,532 is 1300740.
GCF of Denominators means GCF of 622,949,382 as per the given fractions.
GCF of 622,949,382 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,815,532
2 | 60, 815, 532 |
2 | 30, 815, 266 |
5 | 15, 815, 133 |
3, 163, 133 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 163 x 133 = 1300740
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 60,815,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,815,532) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(60,815,532) x common factors =1 x 20 = 20
LCM(60,815,532) = ( 60 × 815 × 532 ) / 20
LCM(60,815,532) = 26014800 / 20
LCM(60,815,532) = 1300740
Lets's calculate GCF of 622,949,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300740/1
Therefore the LCM of Fractions 60/622,815/949,532/382 is 1300740
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 622,949,382 . The biggest common factor number is the GCF number.
So the greatest common factor 622,949,382 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 60/622, 815/949, 532/382?
Answer: LCM of Numerators as per given numbers 60/622, 815/949, 532/382 is
LCM of Numerators i.e. for 60,815,532 is 1300740
GCF of denominators i.e. for 622,949,382 is 1.
Thus, LCM of Fractions is 1300740.Finally, LCM of Fractions for 60/622, 815/949, 532/382 is 1300740.