Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/756, 94/119 quickly i.e. 94/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/756, 94/119 is 94/7.
LCM(94/756, 94/119) = 94/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/756,94/119
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 94,94
Least Common Multiple of Numerators i.e. LCM of 94,94 is 94.
GCF of Denominators means GCF of 756,119 as per the given fractions.
GCF of 756,119 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,94
2 | 94, 94 |
47 | 47, 47 |
1, 1 |
∴ So the LCM of the given numbers is 2 x 47 x 1 x 1 = 94
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 94,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,94) = 94
common factors(in case of two or more numbers have common factors) = 1
GCF(94,94) x common factors =94 x 1 = 94
LCM(94,94) = ( 94 × 94 ) / 94
LCM(94,94) = 8836 / 94
LCM(94,94) = 94
Lets's calculate GCF of 756,119
7 | 756, 119 |
108, 17 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94/7
Therefore the LCM of Fractions 94/756,94/119 is 94/7
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 756,119 . The biggest common factor number is the GCF number.
So the greatest common factor 756,119 is 7.
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 94/756, 94/119?
Answer: LCM of Numerators as per given numbers 94/756, 94/119 is
LCM of Numerators i.e. for 94,94 is 94
GCF of denominators i.e. for 756,119 is 7.
Thus, LCM of Fractions is 94/7.Finally, LCM of Fractions for 94/756, 94/119 is 94/7.