Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/79, 38/742, 457/695 quickly i.e. 1719234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/79, 38/742, 457/695 is 1719234.
LCM(99/79, 38/742, 457/695) = 1719234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/79,38/742,457/695
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 99,38,457
Least Common Multiple of Numerators i.e. LCM of 99,38,457 is 1719234.
GCF of Denominators means GCF of 79,742,695 as per the given fractions.
GCF of 79,742,695 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,38,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 1719234
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 99,38,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,38,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,38,457) x common factors =1 x 1 = 1
LCM(99,38,457) = ( 99 × 38 × 457 ) / 1
LCM(99,38,457) = 1719234 / 1
LCM(99,38,457) = 1719234
Lets's calculate GCF of 79,742,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1719234/1
Therefore the LCM of Fractions 99/79,38/742,457/695 is 1719234
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 79,742,695 . The biggest common factor number is the GCF number.
So the greatest common factor 79,742,695 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 99/79, 38/742, 457/695?
Answer: LCM of Numerators as per given numbers 99/79, 38/742, 457/695 is
LCM of Numerators i.e. for 99,38,457 is 1719234
GCF of denominators i.e. for 79,742,695 is 1.
Thus, LCM of Fractions is 1719234.Finally, LCM of Fractions for 99/79, 38/742, 457/695 is 1719234.