Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/985, 724/681, 430/341 quickly i.e. 12919780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/985, 724/681, 430/341 is 12919780.
LCM(83/985, 724/681, 430/341) = 12919780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/985,724/681,430/341
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 83,724,430
Least Common Multiple of Numerators i.e. LCM of 83,724,430 is 12919780.
GCF of Denominators means GCF of 985,681,341 as per the given fractions.
GCF of 985,681,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,724,430
2 | 83, 724, 430 |
83, 362, 215 |
∴ So the LCM of the given numbers is 2 x 83 x 362 x 215 = 12919780
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 83,724,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,724,430) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(83,724,430) x common factors =1 x 2 = 2
LCM(83,724,430) = ( 83 × 724 × 430 ) / 2
LCM(83,724,430) = 25839560 / 2
LCM(83,724,430) = 12919780
Lets's calculate GCF of 985,681,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12919780/1
Therefore the LCM of Fractions 83/985,724/681,430/341 is 12919780
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 985,681,341 . The biggest common factor number is the GCF number.
So the greatest common factor 985,681,341 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 83/985, 724/681, 430/341?
Answer: LCM of Numerators as per given numbers 83/985, 724/681, 430/341 is
LCM of Numerators i.e. for 83,724,430 is 12919780
GCF of denominators i.e. for 985,681,341 is 1.
Thus, LCM of Fractions is 12919780.Finally, LCM of Fractions for 83/985, 724/681, 430/341 is 12919780.