Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/42, 670/92, 599/806 quickly i.e. 15852535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/42, 670/92, 599/806 is 15852535.
LCM(79/42, 670/92, 599/806) = 15852535
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/42,670/92,599/806
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 79,670,599
Least Common Multiple of Numerators i.e. LCM of 79,670,599 is 31705070.
GCF of Denominators means GCF of 42,92,806 as per the given fractions.
GCF of 42,92,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,670,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 31705070
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 79,670,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,670,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,670,599) x common factors =1 x 1 = 1
LCM(79,670,599) = ( 79 × 670 × 599 ) / 1
LCM(79,670,599) = 31705070 / 1
LCM(79,670,599) = 31705070
Lets's calculate GCF of 42,92,806
2 | 42, 92, 806 |
21, 46, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31705070/2
Therefore the LCM of Fractions 79/42,670/92,599/806 is 15852535
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 42,92,806 . The biggest common factor number is the GCF number.
So the greatest common factor 42,92,806 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 79/42, 670/92, 599/806?
Answer: LCM of Numerators as per given numbers 79/42, 670/92, 599/806 is
LCM of Numerators i.e. for 79,670,599 is 31705070
GCF of denominators i.e. for 42,92,806 is 2.
Thus, LCM of Fractions is 15852535.Finally, LCM of Fractions for 79/42, 670/92, 599/806 is 15852535.