Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/677, 6674/1222 quickly i.e. 113458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/677, 6674/1222 is 113458.
LCM(34/677, 6674/1222) = 113458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/677,6674/1222
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 34,6674
Least Common Multiple of Numerators i.e. LCM of 34,6674 is 113458.
GCF of Denominators means GCF of 677,1222 as per the given fractions.
GCF of 677,1222 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,6674
2 | 34, 6674 |
17, 3337 |
∴ So the LCM of the given numbers is 2 x 17 x 3337 = 113458
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 34,6674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,6674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,6674) x common factors =2 x 1 = 2
LCM(34,6674) = ( 34 × 6674 ) / 2
LCM(34,6674) = 226916 / 2
LCM(34,6674) = 113458
Lets's calculate GCF of 677,1222
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113458/1
Therefore the LCM of Fractions 34/677,6674/1222 is 113458
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 1222
List of positive integer factors of 1222 that divides 1222 without a remainder.
1,2,13,26,47,94,611,1222
Greatest Common Factor
We found the factors 677,1222 . The biggest common factor number is the GCF number.
So the greatest common factor 677,1222 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 34/677, 6674/1222?
Answer: LCM of Numerators as per given numbers 34/677, 6674/1222 is
LCM of Numerators i.e. for 34,6674 is 113458
GCF of denominators i.e. for 677,1222 is 1.
Thus, LCM of Fractions is 113458.Finally, LCM of Fractions for 34/677, 6674/1222 is 113458.