Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/356, 555/79, 853/515 quickly i.e. 11361960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/356, 555/79, 853/515 is 11361960.
LCM(72/356, 555/79, 853/515) = 11361960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/356,555/79,853/515
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 72,555,853
Least Common Multiple of Numerators i.e. LCM of 72,555,853 is 11361960.
GCF of Denominators means GCF of 356,79,515 as per the given fractions.
GCF of 356,79,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,555,853
3 | 72, 555, 853 |
24, 185, 853 |
∴ So the LCM of the given numbers is 3 x 24 x 185 x 853 = 11361960
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 72,555,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,555,853) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(72,555,853) x common factors =1 x 3 = 3
LCM(72,555,853) = ( 72 × 555 × 853 ) / 3
LCM(72,555,853) = 34085880 / 3
LCM(72,555,853) = 11361960
Lets's calculate GCF of 356,79,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11361960/1
Therefore the LCM of Fractions 72/356,555/79,853/515 is 11361960
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 356,79,515 . The biggest common factor number is the GCF number.
So the greatest common factor 356,79,515 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 72/356, 555/79, 853/515?
Answer: LCM of Numerators as per given numbers 72/356, 555/79, 853/515 is
LCM of Numerators i.e. for 72,555,853 is 11361960
GCF of denominators i.e. for 356,79,515 is 1.
Thus, LCM of Fractions is 11361960.Finally, LCM of Fractions for 72/356, 555/79, 853/515 is 11361960.