Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/724, 188/644, 234/308 quickly i.e. 38493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/724, 188/644, 234/308 is 38493.
LCM(42/724, 188/644, 234/308) = 38493
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/724,188/644,234/308
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 42,188,234
Least Common Multiple of Numerators i.e. LCM of 42,188,234 is 153972.
GCF of Denominators means GCF of 724,644,308 as per the given fractions.
GCF of 724,644,308 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,188,234
2 | 42, 188, 234 |
3 | 21, 94, 117 |
7, 94, 39 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 94 x 39 = 153972
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 42,188,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,188,234) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(42,188,234) x common factors =2 x 6 = 12
LCM(42,188,234) = ( 42 × 188 × 234 ) / 12
LCM(42,188,234) = 1847664 / 12
LCM(42,188,234) = 153972
Lets's calculate GCF of 724,644,308
2 | 724, 644, 308 |
2 | 362, 322, 154 |
181, 161, 77 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153972/4
Therefore the LCM of Fractions 42/724,188/644,234/308 is 38493
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 724,644,308 . The biggest common factor number is the GCF number.
So the greatest common factor 724,644,308 is 4.
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 42/724, 188/644, 234/308?
Answer: LCM of Numerators as per given numbers 42/724, 188/644, 234/308 is
LCM of Numerators i.e. for 42,188,234 is 153972
GCF of denominators i.e. for 724,644,308 is 4.
Thus, LCM of Fractions is 38493.Finally, LCM of Fractions for 42/724, 188/644, 234/308 is 38493.