Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/75, 312/71, 640/862 quickly i.e. 1822080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/75, 312/71, 640/862 is 1822080.
LCM(73/75, 312/71, 640/862) = 1822080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/75,312/71,640/862
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 73,312,640
Least Common Multiple of Numerators i.e. LCM of 73,312,640 is 1822080.
GCF of Denominators means GCF of 75,71,862 as per the given fractions.
GCF of 75,71,862 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,312,640
2 | 73, 312, 640 |
2 | 73, 156, 320 |
2 | 73, 78, 160 |
73, 39, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 39 x 80 = 1822080
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 73,312,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,312,640) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(73,312,640) x common factors =1 x 8 = 8
LCM(73,312,640) = ( 73 × 312 × 640 ) / 8
LCM(73,312,640) = 14576640 / 8
LCM(73,312,640) = 1822080
Lets's calculate GCF of 75,71,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1822080/1
Therefore the LCM of Fractions 73/75,312/71,640/862 is 1822080
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 75,71,862 . The biggest common factor number is the GCF number.
So the greatest common factor 75,71,862 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 73/75, 312/71, 640/862?
Answer: LCM of Numerators as per given numbers 73/75, 312/71, 640/862 is
LCM of Numerators i.e. for 73,312,640 is 1822080
GCF of denominators i.e. for 75,71,862 is 1.
Thus, LCM of Fractions is 1822080.Finally, LCM of Fractions for 73/75, 312/71, 640/862 is 1822080.