Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/349, 38/394, 396/124 quickly i.e. 263340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/349, 38/394, 396/124 is 263340.
LCM(70/349, 38/394, 396/124) = 263340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/349,38/394,396/124
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 70,38,396
Least Common Multiple of Numerators i.e. LCM of 70,38,396 is 263340.
GCF of Denominators means GCF of 349,394,124 as per the given fractions.
GCF of 349,394,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,38,396
2 | 70, 38, 396 |
35, 19, 198 |
∴ So the LCM of the given numbers is 2 x 35 x 19 x 198 = 263340
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 70,38,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,38,396) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(70,38,396) x common factors =2 x 2 = 4
LCM(70,38,396) = ( 70 × 38 × 396 ) / 4
LCM(70,38,396) = 1053360 / 4
LCM(70,38,396) = 263340
Lets's calculate GCF of 349,394,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263340/1
Therefore the LCM of Fractions 70/349,38/394,396/124 is 263340
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 349,394,124 . The biggest common factor number is the GCF number.
So the greatest common factor 349,394,124 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 70/349, 38/394, 396/124?
Answer: LCM of Numerators as per given numbers 70/349, 38/394, 396/124 is
LCM of Numerators i.e. for 70,38,396 is 263340
GCF of denominators i.e. for 349,394,124 is 1.
Thus, LCM of Fractions is 263340.Finally, LCM of Fractions for 70/349, 38/394, 396/124 is 263340.