Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/430, 39/136, 62/940 quickly i.e. 3627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/430, 39/136, 62/940 is 3627.
LCM(9/430, 39/136, 62/940) = 3627
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/430,39/136,62/940
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 9,39,62
Least Common Multiple of Numerators i.e. LCM of 9,39,62 is 7254.
GCF of Denominators means GCF of 430,136,940 as per the given fractions.
GCF of 430,136,940 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,39,62
3 | 9, 39, 62 |
3, 13, 62 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 62 = 7254
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 9,39,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,39,62) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,39,62) x common factors =1 x 3 = 3
LCM(9,39,62) = ( 9 × 39 × 62 ) / 3
LCM(9,39,62) = 21762 / 3
LCM(9,39,62) = 7254
Lets's calculate GCF of 430,136,940
2 | 430, 136, 940 |
215, 68, 470 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7254/2
Therefore the LCM of Fractions 9/430,39/136,62/940 is 3627
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 430,136,940 . The biggest common factor number is the GCF number.
So the greatest common factor 430,136,940 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 9/430, 39/136, 62/940?
Answer: LCM of Numerators as per given numbers 9/430, 39/136, 62/940 is
LCM of Numerators i.e. for 9,39,62 is 7254
GCF of denominators i.e. for 430,136,940 is 2.
Thus, LCM of Fractions is 3627.Finally, LCM of Fractions for 9/430, 39/136, 62/940 is 3627.