Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 626/834, 2429/695 quickly i.e. 1520554/139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 626/834, 2429/695 is 1520554/139.
LCM(626/834, 2429/695) = 1520554/139
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 626/834,2429/695
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 626,2429
Least Common Multiple of Numerators i.e. LCM of 626,2429 is 1520554.
GCF of Denominators means GCF of 834,695 as per the given fractions.
GCF of 834,695 is 139 as it is the largest common factor for these numbers.
Lets's calculate LCM of 626,2429
Given numbers has no common factors except 1. So, there LCM is their product i.e 1520554
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 626,2429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,2429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,2429) x common factors =1 x 1 = 1
LCM(626,2429) = ( 626 × 2429 ) / 1
LCM(626,2429) = 1520554 / 1
LCM(626,2429) = 1520554
Lets's calculate GCF of 834,695
139 | 834, 695 |
6, 5 |
∴ So the GCF of the given numbers is 139 = 139
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1520554/139
Therefore the LCM of Fractions 626/834,2429/695 is 1520554/139
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 834,695 . The biggest common factor number is the GCF number.
So the greatest common factor 834,695 is 139.
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 626/834, 2429/695?
Answer: LCM of Numerators as per given numbers 626/834, 2429/695 is
LCM of Numerators i.e. for 626,2429 is 1520554
GCF of denominators i.e. for 834,695 is 139.
Thus, LCM of Fractions is 1520554/139.Finally, LCM of Fractions for 626/834, 2429/695 is 1520554/139.