Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/983, 551/672, 675/964 quickly i.e. 4835025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/983, 551/672, 675/964 is 4835025.
LCM(65/983, 551/672, 675/964) = 4835025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/983,551/672,675/964
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 65,551,675
Least Common Multiple of Numerators i.e. LCM of 65,551,675 is 4835025.
GCF of Denominators means GCF of 983,672,964 as per the given fractions.
GCF of 983,672,964 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,551,675
5 | 65, 551, 675 |
13, 551, 135 |
∴ So the LCM of the given numbers is 5 x 13 x 551 x 135 = 4835025
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 65,551,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,551,675) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,551,675) x common factors =1 x 5 = 5
LCM(65,551,675) = ( 65 × 551 × 675 ) / 5
LCM(65,551,675) = 24175125 / 5
LCM(65,551,675) = 4835025
Lets's calculate GCF of 983,672,964
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4835025/1
Therefore the LCM of Fractions 65/983,551/672,675/964 is 4835025
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 983,672,964 . The biggest common factor number is the GCF number.
So the greatest common factor 983,672,964 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 65/983, 551/672, 675/964?
Answer: LCM of Numerators as per given numbers 65/983, 551/672, 675/964 is
LCM of Numerators i.e. for 65,551,675 is 4835025
GCF of denominators i.e. for 983,672,964 is 1.
Thus, LCM of Fractions is 4835025.Finally, LCM of Fractions for 65/983, 551/672, 675/964 is 4835025.