Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/105, 186/293, 244/565 quickly i.e. 136152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/105, 186/293, 244/565 is 136152.
LCM(72/105, 186/293, 244/565) = 136152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/105,186/293,244/565
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 72,186,244
Least Common Multiple of Numerators i.e. LCM of 72,186,244 is 136152.
GCF of Denominators means GCF of 105,293,565 as per the given fractions.
GCF of 105,293,565 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,186,244
2 | 72, 186, 244 |
2 | 36, 93, 122 |
3 | 18, 93, 61 |
6, 31, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 31 x 61 = 136152
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 72,186,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,186,244) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(72,186,244) x common factors =2 x 12 = 24
LCM(72,186,244) = ( 72 × 186 × 244 ) / 24
LCM(72,186,244) = 3267648 / 24
LCM(72,186,244) = 136152
Lets's calculate GCF of 105,293,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136152/1
Therefore the LCM of Fractions 72/105,186/293,244/565 is 136152
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 105,293,565 . The biggest common factor number is the GCF number.
So the greatest common factor 105,293,565 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 72/105, 186/293, 244/565?
Answer: LCM of Numerators as per given numbers 72/105, 186/293, 244/565 is
LCM of Numerators i.e. for 72,186,244 is 136152
GCF of denominators i.e. for 105,293,565 is 1.
Thus, LCM of Fractions is 136152.Finally, LCM of Fractions for 72/105, 186/293, 244/565 is 136152.