Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/40, 690/9022 quickly i.e. 73485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/40, 690/9022 is 73485.
LCM(639/40, 690/9022) = 73485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/40,690/9022
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 639,690
Least Common Multiple of Numerators i.e. LCM of 639,690 is 146970.
GCF of Denominators means GCF of 40,9022 as per the given fractions.
GCF of 40,9022 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,690
3 | 639, 690 |
213, 230 |
∴ So the LCM of the given numbers is 3 x 213 x 230 = 146970
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 639,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,690) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,690) x common factors =3 x 1 = 3
LCM(639,690) = ( 639 × 690 ) / 3
LCM(639,690) = 440910 / 3
LCM(639,690) = 146970
Lets's calculate GCF of 40,9022
2 | 40, 9022 |
20, 4511 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146970/2
Therefore the LCM of Fractions 639/40,690/9022 is 73485
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 9022
List of positive integer factors of 9022 that divides 9022 without a remainder.
1,2,13,26,347,694,4511,9022
Greatest Common Factor
We found the factors 40,9022 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9022 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 639/40, 690/9022?
Answer: LCM of Numerators as per given numbers 639/40, 690/9022 is
LCM of Numerators i.e. for 639,690 is 146970
GCF of denominators i.e. for 40,9022 is 2.
Thus, LCM of Fractions is 73485.Finally, LCM of Fractions for 639/40, 690/9022 is 73485.