Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/875, 82/670, 995/473 quickly i.e. 2610880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/875, 82/670, 995/473 is 2610880.
LCM(64/875, 82/670, 995/473) = 2610880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/875,82/670,995/473
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 64,82,995
Least Common Multiple of Numerators i.e. LCM of 64,82,995 is 2610880.
GCF of Denominators means GCF of 875,670,473 as per the given fractions.
GCF of 875,670,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,82,995
2 | 64, 82, 995 |
32, 41, 995 |
∴ So the LCM of the given numbers is 2 x 32 x 41 x 995 = 2610880
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 64,82,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,82,995) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,82,995) x common factors =1 x 2 = 2
LCM(64,82,995) = ( 64 × 82 × 995 ) / 2
LCM(64,82,995) = 5221760 / 2
LCM(64,82,995) = 2610880
Lets's calculate GCF of 875,670,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2610880/1
Therefore the LCM of Fractions 64/875,82/670,995/473 is 2610880
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 875,670,473 . The biggest common factor number is the GCF number.
So the greatest common factor 875,670,473 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 64/875, 82/670, 995/473?
Answer: LCM of Numerators as per given numbers 64/875, 82/670, 995/473 is
LCM of Numerators i.e. for 64,82,995 is 2610880
GCF of denominators i.e. for 875,670,473 is 1.
Thus, LCM of Fractions is 2610880.Finally, LCM of Fractions for 64/875, 82/670, 995/473 is 2610880.