Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 361/36, 536/64, 760/861 quickly i.e. 967480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 361/36, 536/64, 760/861 is 967480.
LCM(361/36, 536/64, 760/861) = 967480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 361/36,536/64,760/861
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 361,536,760
Least Common Multiple of Numerators i.e. LCM of 361,536,760 is 967480.
GCF of Denominators means GCF of 36,64,861 as per the given fractions.
GCF of 36,64,861 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 361,536,760
2 | 361, 536, 760 |
2 | 361, 268, 380 |
2 | 361, 134, 190 |
19 | 361, 67, 95 |
19, 67, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 19 x 67 x 5 = 967480
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 361,536,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,536,760) = 1
common factors(in case of two or more numbers have common factors) = 152
GCF(361,536,760) x common factors =1 x 152 = 152
LCM(361,536,760) = ( 361 × 536 × 760 ) / 152
LCM(361,536,760) = 147056960 / 152
LCM(361,536,760) = 967480
Lets's calculate GCF of 36,64,861
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967480/1
Therefore the LCM of Fractions 361/36,536/64,760/861 is 967480
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 36,64,861 . The biggest common factor number is the GCF number.
So the greatest common factor 36,64,861 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 361/36, 536/64, 760/861?
Answer: LCM of Numerators as per given numbers 361/36, 536/64, 760/861 is
LCM of Numerators i.e. for 361,536,760 is 967480
GCF of denominators i.e. for 36,64,861 is 1.
Thus, LCM of Fractions is 967480.Finally, LCM of Fractions for 361/36, 536/64, 760/861 is 967480.