Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/816, 19/872, 988/358 quickly i.e. 41002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/816, 19/872, 988/358 is 41002.
LCM(83/816, 19/872, 988/358) = 41002
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/816,19/872,988/358
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 83,19,988
Least Common Multiple of Numerators i.e. LCM of 83,19,988 is 82004.
GCF of Denominators means GCF of 816,872,358 as per the given fractions.
GCF of 816,872,358 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,19,988
19 | 83, 19, 988 |
83, 1, 52 |
∴ So the LCM of the given numbers is 19 x 83 x 1 x 52 = 82004
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 83,19,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,19,988) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(83,19,988) x common factors =1 x 19 = 19
LCM(83,19,988) = ( 83 × 19 × 988 ) / 19
LCM(83,19,988) = 1558076 / 19
LCM(83,19,988) = 82004
Lets's calculate GCF of 816,872,358
2 | 816, 872, 358 |
408, 436, 179 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82004/2
Therefore the LCM of Fractions 83/816,19/872,988/358 is 41002
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 816,872,358 . The biggest common factor number is the GCF number.
So the greatest common factor 816,872,358 is 2.
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 83/816, 19/872, 988/358?
Answer: LCM of Numerators as per given numbers 83/816, 19/872, 988/358 is
LCM of Numerators i.e. for 83,19,988 is 82004
GCF of denominators i.e. for 816,872,358 is 2.
Thus, LCM of Fractions is 41002.Finally, LCM of Fractions for 83/816, 19/872, 988/358 is 41002.