Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/42, 657/48, 216/213 quickly i.e. 162936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/42, 657/48, 216/213 is 162936.
LCM(62/42, 657/48, 216/213) = 162936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/42,657/48,216/213
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 62,657,216
Least Common Multiple of Numerators i.e. LCM of 62,657,216 is 488808.
GCF of Denominators means GCF of 42,48,213 as per the given fractions.
GCF of 42,48,213 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,657,216
2 | 62, 657, 216 |
3 | 31, 657, 108 |
3 | 31, 219, 36 |
31, 73, 12 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 73 x 12 = 488808
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 62,657,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,657,216) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(62,657,216) x common factors =1 x 18 = 18
LCM(62,657,216) = ( 62 × 657 × 216 ) / 18
LCM(62,657,216) = 8798544 / 18
LCM(62,657,216) = 488808
Lets's calculate GCF of 42,48,213
3 | 42, 48, 213 |
14, 16, 71 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488808/3
Therefore the LCM of Fractions 62/42,657/48,216/213 is 162936
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 42,48,213 . The biggest common factor number is the GCF number.
So the greatest common factor 42,48,213 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 62/42, 657/48, 216/213?
Answer: LCM of Numerators as per given numbers 62/42, 657/48, 216/213 is
LCM of Numerators i.e. for 62,657,216 is 488808
GCF of denominators i.e. for 42,48,213 is 3.
Thus, LCM of Fractions is 162936.Finally, LCM of Fractions for 62/42, 657/48, 216/213 is 162936.