Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 635/21, 470/3396 quickly i.e. 59690/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 635/21, 470/3396 is 59690/3.
LCM(635/21, 470/3396) = 59690/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 635/21,470/3396
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 635,470
Least Common Multiple of Numerators i.e. LCM of 635,470 is 59690.
GCF of Denominators means GCF of 21,3396 as per the given fractions.
GCF of 21,3396 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 635,470
5 | 635, 470 |
127, 94 |
∴ So the LCM of the given numbers is 5 x 127 x 94 = 59690
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 635,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,470) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(635,470) x common factors =5 x 1 = 5
LCM(635,470) = ( 635 × 470 ) / 5
LCM(635,470) = 298450 / 5
LCM(635,470) = 59690
Lets's calculate GCF of 21,3396
3 | 21, 3396 |
7, 1132 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59690/3
Therefore the LCM of Fractions 635/21,470/3396 is 59690/3
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 3396
List of positive integer factors of 3396 that divides 3396 without a remainder.
1,2,3,4,6,12,283,566,849,1132,1698,3396
Greatest Common Factor
We found the factors 21,3396 . The biggest common factor number is the GCF number.
So the greatest common factor 21,3396 is 3.
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 635/21, 470/3396?
Answer: LCM of Numerators as per given numbers 635/21, 470/3396 is
LCM of Numerators i.e. for 635,470 is 59690
GCF of denominators i.e. for 21,3396 is 3.
Thus, LCM of Fractions is 59690/3.Finally, LCM of Fractions for 635/21, 470/3396 is 59690/3.