Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/756, 99/861, 703/392 quickly i.e. 695970/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/756, 99/861, 703/392 is 695970/7.
LCM(30/756, 99/861, 703/392) = 695970/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/756,99/861,703/392
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 30,99,703
Least Common Multiple of Numerators i.e. LCM of 30,99,703 is 695970.
GCF of Denominators means GCF of 756,861,392 as per the given fractions.
GCF of 756,861,392 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,99,703
3 | 30, 99, 703 |
10, 33, 703 |
∴ So the LCM of the given numbers is 3 x 10 x 33 x 703 = 695970
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 30,99,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,99,703) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(30,99,703) x common factors =1 x 3 = 3
LCM(30,99,703) = ( 30 × 99 × 703 ) / 3
LCM(30,99,703) = 2087910 / 3
LCM(30,99,703) = 695970
Lets's calculate GCF of 756,861,392
7 | 756, 861, 392 |
108, 123, 56 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695970/7
Therefore the LCM of Fractions 30/756,99/861,703/392 is 695970/7
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 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 756,861,392 . The biggest common factor number is the GCF number.
So the greatest common factor 756,861,392 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 30/756, 99/861, 703/392?
Answer: LCM of Numerators as per given numbers 30/756, 99/861, 703/392 is
LCM of Numerators i.e. for 30,99,703 is 695970
GCF of denominators i.e. for 756,861,392 is 7.
Thus, LCM of Fractions is 695970/7.Finally, LCM of Fractions for 30/756, 99/861, 703/392 is 695970/7.