Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/822, 97/256, 987/185 quickly i.e. 3829560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/822, 97/256, 987/185 is 3829560.
LCM(40/822, 97/256, 987/185) = 3829560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/822,97/256,987/185
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 40,97,987
Least Common Multiple of Numerators i.e. LCM of 40,97,987 is 3829560.
GCF of Denominators means GCF of 822,256,185 as per the given fractions.
GCF of 822,256,185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,97,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 3829560
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 40,97,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,97,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,97,987) x common factors =1 x 1 = 1
LCM(40,97,987) = ( 40 × 97 × 987 ) / 1
LCM(40,97,987) = 3829560 / 1
LCM(40,97,987) = 3829560
Lets's calculate GCF of 822,256,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3829560/1
Therefore the LCM of Fractions 40/822,97/256,987/185 is 3829560
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 822,256,185 . The biggest common factor number is the GCF number.
So the greatest common factor 822,256,185 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 40/822, 97/256, 987/185?
Answer: LCM of Numerators as per given numbers 40/822, 97/256, 987/185 is
LCM of Numerators i.e. for 40,97,987 is 3829560
GCF of denominators i.e. for 822,256,185 is 1.
Thus, LCM of Fractions is 3829560.Finally, LCM of Fractions for 40/822, 97/256, 987/185 is 3829560.