Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 870/65, 385/82, 963/567 quickly i.e. 21503790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 870/65, 385/82, 963/567 is 21503790.
LCM(870/65, 385/82, 963/567) = 21503790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 870/65,385/82,963/567
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 870,385,963
Least Common Multiple of Numerators i.e. LCM of 870,385,963 is 21503790.
GCF of Denominators means GCF of 65,82,567 as per the given fractions.
GCF of 65,82,567 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 870,385,963
3 | 870, 385, 963 |
5 | 290, 385, 321 |
58, 77, 321 |
∴ So the LCM of the given numbers is 3 x 5 x 58 x 77 x 321 = 21503790
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 870,385,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,385,963) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(870,385,963) x common factors =1 x 15 = 15
LCM(870,385,963) = ( 870 × 385 × 963 ) / 15
LCM(870,385,963) = 322556850 / 15
LCM(870,385,963) = 21503790
Lets's calculate GCF of 65,82,567
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21503790/1
Therefore the LCM of Fractions 870/65,385/82,963/567 is 21503790
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 65,82,567 . The biggest common factor number is the GCF number.
So the greatest common factor 65,82,567 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 870/65, 385/82, 963/567?
Answer: LCM of Numerators as per given numbers 870/65, 385/82, 963/567 is
LCM of Numerators i.e. for 870,385,963 is 21503790
GCF of denominators i.e. for 65,82,567 is 1.
Thus, LCM of Fractions is 21503790.Finally, LCM of Fractions for 870/65, 385/82, 963/567 is 21503790.