Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 873/414, 215/351, 358/196 quickly i.e. 67194810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 873/414, 215/351, 358/196 is 67194810.
LCM(873/414, 215/351, 358/196) = 67194810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 873/414,215/351,358/196
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 873,215,358
Least Common Multiple of Numerators i.e. LCM of 873,215,358 is 67194810.
GCF of Denominators means GCF of 414,351,196 as per the given fractions.
GCF of 414,351,196 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 873,215,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 67194810
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 873,215,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,215,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,215,358) x common factors =1 x 1 = 1
LCM(873,215,358) = ( 873 × 215 × 358 ) / 1
LCM(873,215,358) = 67194810 / 1
LCM(873,215,358) = 67194810
Lets's calculate GCF of 414,351,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67194810/1
Therefore the LCM of Fractions 873/414,215/351,358/196 is 67194810
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 414,351,196 . The biggest common factor number is the GCF number.
So the greatest common factor 414,351,196 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 873/414, 215/351, 358/196?
Answer: LCM of Numerators as per given numbers 873/414, 215/351, 358/196 is
LCM of Numerators i.e. for 873,215,358 is 67194810
GCF of denominators i.e. for 414,351,196 is 1.
Thus, LCM of Fractions is 67194810.Finally, LCM of Fractions for 873/414, 215/351, 358/196 is 67194810.