Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/10, 980/74, 396/915 quickly i.e. 97020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/10, 980/74, 396/915 is 97020.
LCM(90/10, 980/74, 396/915) = 97020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/10,980/74,396/915
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 90,980,396
Least Common Multiple of Numerators i.e. LCM of 90,980,396 is 97020.
GCF of Denominators means GCF of 10,74,915 as per the given fractions.
GCF of 10,74,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,980,396
2 | 90, 980, 396 |
2 | 45, 490, 198 |
3 | 45, 245, 99 |
3 | 15, 245, 33 |
5 | 5, 245, 11 |
1, 49, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 49 x 11 = 97020
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 90,980,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,980,396) = 2
common factors(in case of two or more numbers have common factors) = 180
GCF(90,980,396) x common factors =2 x 180 = 360
LCM(90,980,396) = ( 90 × 980 × 396 ) / 360
LCM(90,980,396) = 34927200 / 360
LCM(90,980,396) = 97020
Lets's calculate GCF of 10,74,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97020/1
Therefore the LCM of Fractions 90/10,980/74,396/915 is 97020
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 10,74,915 . The biggest common factor number is the GCF number.
So the greatest common factor 10,74,915 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 90/10, 980/74, 396/915?
Answer: LCM of Numerators as per given numbers 90/10, 980/74, 396/915 is
LCM of Numerators i.e. for 90,980,396 is 97020
GCF of denominators i.e. for 10,74,915 is 1.
Thus, LCM of Fractions is 97020.Finally, LCM of Fractions for 90/10, 980/74, 396/915 is 97020.