Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 741/70, 382/1415 quickly i.e. 283062/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 741/70, 382/1415 is 283062/5.
LCM(741/70, 382/1415) = 283062/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 741/70,382/1415
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 741,382
Least Common Multiple of Numerators i.e. LCM of 741,382 is 283062.
GCF of Denominators means GCF of 70,1415 as per the given fractions.
GCF of 70,1415 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 741,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 283062
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 741,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,382) x common factors =1 x 1 = 1
LCM(741,382) = ( 741 × 382 ) / 1
LCM(741,382) = 283062 / 1
LCM(741,382) = 283062
Lets's calculate GCF of 70,1415
5 | 70, 1415 |
14, 283 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283062/5
Therefore the LCM of Fractions 741/70,382/1415 is 283062/5
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 1415
List of positive integer factors of 1415 that divides 1415 without a remainder.
1,5,283,1415
Greatest Common Factor
We found the factors 70,1415 . The biggest common factor number is the GCF number.
So the greatest common factor 70,1415 is 5.
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 741/70, 382/1415?
Answer: LCM of Numerators as per given numbers 741/70, 382/1415 is
LCM of Numerators i.e. for 741,382 is 283062
GCF of denominators i.e. for 70,1415 is 5.
Thus, LCM of Fractions is 283062/5.Finally, LCM of Fractions for 741/70, 382/1415 is 283062/5.