Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 363/10, 427/98, 626/644 quickly i.e. 48515313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 363/10, 427/98, 626/644 is 48515313.
LCM(363/10, 427/98, 626/644) = 48515313
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 363/10,427/98,626/644
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 363,427,626
Least Common Multiple of Numerators i.e. LCM of 363,427,626 is 97030626.
GCF of Denominators means GCF of 10,98,644 as per the given fractions.
GCF of 10,98,644 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 363,427,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 97030626
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 363,427,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,427,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,427,626) x common factors =1 x 1 = 1
LCM(363,427,626) = ( 363 × 427 × 626 ) / 1
LCM(363,427,626) = 97030626 / 1
LCM(363,427,626) = 97030626
Lets's calculate GCF of 10,98,644
2 | 10, 98, 644 |
5, 49, 322 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97030626/2
Therefore the LCM of Fractions 363/10,427/98,626/644 is 48515313
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 10,98,644 . The biggest common factor number is the GCF number.
So the greatest common factor 10,98,644 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 363/10, 427/98, 626/644?
Answer: LCM of Numerators as per given numbers 363/10, 427/98, 626/644 is
LCM of Numerators i.e. for 363,427,626 is 97030626
GCF of denominators i.e. for 10,98,644 is 2.
Thus, LCM of Fractions is 48515313.Finally, LCM of Fractions for 363/10, 427/98, 626/644 is 48515313.