Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/86, 142/58, 919/482 quickly i.e. 6198655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/86, 142/58, 919/482 is 6198655.
LCM(95/86, 142/58, 919/482) = 6198655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/86,142/58,919/482
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 95,142,919
Least Common Multiple of Numerators i.e. LCM of 95,142,919 is 12397310.
GCF of Denominators means GCF of 86,58,482 as per the given fractions.
GCF of 86,58,482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,142,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 12397310
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 95,142,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,142,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,142,919) x common factors =1 x 1 = 1
LCM(95,142,919) = ( 95 × 142 × 919 ) / 1
LCM(95,142,919) = 12397310 / 1
LCM(95,142,919) = 12397310
Lets's calculate GCF of 86,58,482
2 | 86, 58, 482 |
43, 29, 241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12397310/2
Therefore the LCM of Fractions 95/86,142/58,919/482 is 6198655
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 86,58,482 . The biggest common factor number is the GCF number.
So the greatest common factor 86,58,482 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 95/86, 142/58, 919/482?
Answer: LCM of Numerators as per given numbers 95/86, 142/58, 919/482 is
LCM of Numerators i.e. for 95,142,919 is 12397310
GCF of denominators i.e. for 86,58,482 is 2.
Thus, LCM of Fractions is 6198655.Finally, LCM of Fractions for 95/86, 142/58, 919/482 is 6198655.