Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 611/963, 387/641, 470/178 quickly i.e. 2364570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 611/963, 387/641, 470/178 is 2364570.
LCM(611/963, 387/641, 470/178) = 2364570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 611/963,387/641,470/178
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 611,387,470
Least Common Multiple of Numerators i.e. LCM of 611,387,470 is 2364570.
GCF of Denominators means GCF of 963,641,178 as per the given fractions.
GCF of 963,641,178 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 611,387,470
47 | 611, 387, 470 |
13, 387, 10 |
∴ So the LCM of the given numbers is 47 x 13 x 387 x 10 = 2364570
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 611,387,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,387,470) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(611,387,470) x common factors =1 x 47 = 47
LCM(611,387,470) = ( 611 × 387 × 470 ) / 47
LCM(611,387,470) = 111134790 / 47
LCM(611,387,470) = 2364570
Lets's calculate GCF of 963,641,178
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2364570/1
Therefore the LCM of Fractions 611/963,387/641,470/178 is 2364570
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 963,641,178 . The biggest common factor number is the GCF number.
So the greatest common factor 963,641,178 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 611/963, 387/641, 470/178?
Answer: LCM of Numerators as per given numbers 611/963, 387/641, 470/178 is
LCM of Numerators i.e. for 611,387,470 is 2364570
GCF of denominators i.e. for 963,641,178 is 1.
Thus, LCM of Fractions is 2364570.Finally, LCM of Fractions for 611/963, 387/641, 470/178 is 2364570.