Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 395/14, 498/79, 626/702 quickly i.e. 61570230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 395/14, 498/79, 626/702 is 61570230.
LCM(395/14, 498/79, 626/702) = 61570230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 395/14,498/79,626/702
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 395,498,626
Least Common Multiple of Numerators i.e. LCM of 395,498,626 is 61570230.
GCF of Denominators means GCF of 14,79,702 as per the given fractions.
GCF of 14,79,702 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 395,498,626
2 | 395, 498, 626 |
395, 249, 313 |
∴ So the LCM of the given numbers is 2 x 395 x 249 x 313 = 61570230
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 395,498,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,498,626) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(395,498,626) x common factors =1 x 2 = 2
LCM(395,498,626) = ( 395 × 498 × 626 ) / 2
LCM(395,498,626) = 123140460 / 2
LCM(395,498,626) = 61570230
Lets's calculate GCF of 14,79,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61570230/1
Therefore the LCM of Fractions 395/14,498/79,626/702 is 61570230
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
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 14,79,702 . The biggest common factor number is the GCF number.
So the greatest common factor 14,79,702 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 395/14, 498/79, 626/702?
Answer: LCM of Numerators as per given numbers 395/14, 498/79, 626/702 is
LCM of Numerators i.e. for 395,498,626 is 61570230
GCF of denominators i.e. for 14,79,702 is 1.
Thus, LCM of Fractions is 61570230.Finally, LCM of Fractions for 395/14, 498/79, 626/702 is 61570230.