Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 707/90, 378/81, 236/348 quickly i.e. 1501668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 707/90, 378/81, 236/348 is 1501668.
LCM(707/90, 378/81, 236/348) = 1501668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 707/90,378/81,236/348
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 707,378,236
Least Common Multiple of Numerators i.e. LCM of 707,378,236 is 4505004.
GCF of Denominators means GCF of 90,81,348 as per the given fractions.
GCF of 90,81,348 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 707,378,236
2 | 707, 378, 236 |
7 | 707, 189, 118 |
101, 27, 118 |
∴ So the LCM of the given numbers is 2 x 7 x 101 x 27 x 118 = 4505004
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 707,378,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,378,236) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(707,378,236) x common factors =1 x 14 = 14
LCM(707,378,236) = ( 707 × 378 × 236 ) / 14
LCM(707,378,236) = 63070056 / 14
LCM(707,378,236) = 4505004
Lets's calculate GCF of 90,81,348
3 | 90, 81, 348 |
30, 27, 116 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4505004/3
Therefore the LCM of Fractions 707/90,378/81,236/348 is 1501668
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 90,81,348 . The biggest common factor number is the GCF number.
So the greatest common factor 90,81,348 is 3.
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 707/90, 378/81, 236/348?
Answer: LCM of Numerators as per given numbers 707/90, 378/81, 236/348 is
LCM of Numerators i.e. for 707,378,236 is 4505004
GCF of denominators i.e. for 90,81,348 is 3.
Thus, LCM of Fractions is 1501668.Finally, LCM of Fractions for 707/90, 378/81, 236/348 is 1501668.