Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/158, 68/216, 642/369 quickly i.e. 152796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/158, 68/216, 642/369 is 152796.
LCM(21/158, 68/216, 642/369) = 152796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/158,68/216,642/369
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 21,68,642
Least Common Multiple of Numerators i.e. LCM of 21,68,642 is 152796.
GCF of Denominators means GCF of 158,216,369 as per the given fractions.
GCF of 158,216,369 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,68,642
2 | 21, 68, 642 |
3 | 21, 34, 321 |
7, 34, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 34 x 107 = 152796
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 21,68,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,68,642) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(21,68,642) x common factors =1 x 6 = 6
LCM(21,68,642) = ( 21 × 68 × 642 ) / 6
LCM(21,68,642) = 916776 / 6
LCM(21,68,642) = 152796
Lets's calculate GCF of 158,216,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152796/1
Therefore the LCM of Fractions 21/158,68/216,642/369 is 152796
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 158,216,369 . The biggest common factor number is the GCF number.
So the greatest common factor 158,216,369 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 21/158, 68/216, 642/369?
Answer: LCM of Numerators as per given numbers 21/158, 68/216, 642/369 is
LCM of Numerators i.e. for 21,68,642 is 152796
GCF of denominators i.e. for 158,216,369 is 1.
Thus, LCM of Fractions is 152796.Finally, LCM of Fractions for 21/158, 68/216, 642/369 is 152796.