Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 294/94, 606/82, 707/236 quickly i.e. 14847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 294/94, 606/82, 707/236 is 14847.
LCM(294/94, 606/82, 707/236) = 14847
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 294/94,606/82,707/236
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 294,606,707
Least Common Multiple of Numerators i.e. LCM of 294,606,707 is 29694.
GCF of Denominators means GCF of 94,82,236 as per the given fractions.
GCF of 94,82,236 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 294,606,707
2 | 294, 606, 707 |
3 | 147, 303, 707 |
7 | 49, 101, 707 |
101 | 7, 101, 101 |
7, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 101 x 7 x 1 x 1 = 29694
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 294,606,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,606,707) = 1
common factors(in case of two or more numbers have common factors) = 4242
GCF(294,606,707) x common factors =1 x 4242 = 4242
LCM(294,606,707) = ( 294 × 606 × 707 ) / 4242
LCM(294,606,707) = 125961948 / 4242
LCM(294,606,707) = 29694
Lets's calculate GCF of 94,82,236
2 | 94, 82, 236 |
47, 41, 118 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29694/2
Therefore the LCM of Fractions 294/94,606/82,707/236 is 14847
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 94,82,236 . The biggest common factor number is the GCF number.
So the greatest common factor 94,82,236 is 2.
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 294/94, 606/82, 707/236?
Answer: LCM of Numerators as per given numbers 294/94, 606/82, 707/236 is
LCM of Numerators i.e. for 294,606,707 is 29694
GCF of denominators i.e. for 94,82,236 is 2.
Thus, LCM of Fractions is 14847.Finally, LCM of Fractions for 294/94, 606/82, 707/236 is 14847.