Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/816, 666/337, 419/702 quickly i.e. 1953378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/816, 666/337, 419/702 is 1953378.
LCM(42/816, 666/337, 419/702) = 1953378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/816,666/337,419/702
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 42,666,419
Least Common Multiple of Numerators i.e. LCM of 42,666,419 is 1953378.
GCF of Denominators means GCF of 816,337,702 as per the given fractions.
GCF of 816,337,702 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,666,419
2 | 42, 666, 419 |
3 | 21, 333, 419 |
7, 111, 419 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 111 x 419 = 1953378
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 42,666,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,666,419) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,666,419) x common factors =1 x 6 = 6
LCM(42,666,419) = ( 42 × 666 × 419 ) / 6
LCM(42,666,419) = 11720268 / 6
LCM(42,666,419) = 1953378
Lets's calculate GCF of 816,337,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1953378/1
Therefore the LCM of Fractions 42/816,666/337,419/702 is 1953378
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 816,337,702 . The biggest common factor number is the GCF number.
So the greatest common factor 816,337,702 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 42/816, 666/337, 419/702?
Answer: LCM of Numerators as per given numbers 42/816, 666/337, 419/702 is
LCM of Numerators i.e. for 42,666,419 is 1953378
GCF of denominators i.e. for 816,337,702 is 1.
Thus, LCM of Fractions is 1953378.Finally, LCM of Fractions for 42/816, 666/337, 419/702 is 1953378.