Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/618, 43/790, 934/106 quickly i.e. 341377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/618, 43/790, 934/106 is 341377.
LCM(34/618, 43/790, 934/106) = 341377
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/618,43/790,934/106
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 34,43,934
Least Common Multiple of Numerators i.e. LCM of 34,43,934 is 682754.
GCF of Denominators means GCF of 618,790,106 as per the given fractions.
GCF of 618,790,106 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,43,934
2 | 34, 43, 934 |
17, 43, 467 |
∴ So the LCM of the given numbers is 2 x 17 x 43 x 467 = 682754
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 34,43,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,43,934) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,43,934) x common factors =1 x 2 = 2
LCM(34,43,934) = ( 34 × 43 × 934 ) / 2
LCM(34,43,934) = 1365508 / 2
LCM(34,43,934) = 682754
Lets's calculate GCF of 618,790,106
2 | 618, 790, 106 |
309, 395, 53 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 682754/2
Therefore the LCM of Fractions 34/618,43/790,934/106 is 341377
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 618,790,106 . The biggest common factor number is the GCF number.
So the greatest common factor 618,790,106 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 34/618, 43/790, 934/106?
Answer: LCM of Numerators as per given numbers 34/618, 43/790, 934/106 is
LCM of Numerators i.e. for 34,43,934 is 682754
GCF of denominators i.e. for 618,790,106 is 2.
Thus, LCM of Fractions is 341377.Finally, LCM of Fractions for 34/618, 43/790, 934/106 is 341377.