Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/846, 872/780, 339/361 quickly i.e. 8572632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/846, 872/780, 339/361 is 8572632.
LCM(58/846, 872/780, 339/361) = 8572632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/846,872/780,339/361
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 58,872,339
Least Common Multiple of Numerators i.e. LCM of 58,872,339 is 8572632.
GCF of Denominators means GCF of 846,780,361 as per the given fractions.
GCF of 846,780,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,872,339
2 | 58, 872, 339 |
29, 436, 339 |
∴ So the LCM of the given numbers is 2 x 29 x 436 x 339 = 8572632
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 58,872,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,872,339) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,872,339) x common factors =1 x 2 = 2
LCM(58,872,339) = ( 58 × 872 × 339 ) / 2
LCM(58,872,339) = 17145264 / 2
LCM(58,872,339) = 8572632
Lets's calculate GCF of 846,780,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8572632/1
Therefore the LCM of Fractions 58/846,872/780,339/361 is 8572632
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 846,780,361 . The biggest common factor number is the GCF number.
So the greatest common factor 846,780,361 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 58/846, 872/780, 339/361?
Answer: LCM of Numerators as per given numbers 58/846, 872/780, 339/361 is
LCM of Numerators i.e. for 58,872,339 is 8572632
GCF of denominators i.e. for 846,780,361 is 1.
Thus, LCM of Fractions is 8572632.Finally, LCM of Fractions for 58/846, 872/780, 339/361 is 8572632.