Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/54, 951/50, 837/383 quickly i.e. 22022307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/54, 951/50, 837/383 is 22022307.
LCM(83/54, 951/50, 837/383) = 22022307
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/54,951/50,837/383
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 83,951,837
Least Common Multiple of Numerators i.e. LCM of 83,951,837 is 22022307.
GCF of Denominators means GCF of 54,50,383 as per the given fractions.
GCF of 54,50,383 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,951,837
3 | 83, 951, 837 |
83, 317, 279 |
∴ So the LCM of the given numbers is 3 x 83 x 317 x 279 = 22022307
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 83,951,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,951,837) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(83,951,837) x common factors =1 x 3 = 3
LCM(83,951,837) = ( 83 × 951 × 837 ) / 3
LCM(83,951,837) = 66066921 / 3
LCM(83,951,837) = 22022307
Lets's calculate GCF of 54,50,383
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22022307/1
Therefore the LCM of Fractions 83/54,951/50,837/383 is 22022307
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Greatest Common Factor
We found the factors 54,50,383 . The biggest common factor number is the GCF number.
So the greatest common factor 54,50,383 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 83/54, 951/50, 837/383?
Answer: LCM of Numerators as per given numbers 83/54, 951/50, 837/383 is
LCM of Numerators i.e. for 83,951,837 is 22022307
GCF of denominators i.e. for 54,50,383 is 1.
Thus, LCM of Fractions is 22022307.Finally, LCM of Fractions for 83/54, 951/50, 837/383 is 22022307.