Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/791, 72/122, 685/142 quickly i.e. 49320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/791, 72/122, 685/142 is 49320.
LCM(10/791, 72/122, 685/142) = 49320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/791,72/122,685/142
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 10,72,685
Least Common Multiple of Numerators i.e. LCM of 10,72,685 is 49320.
GCF of Denominators means GCF of 791,122,142 as per the given fractions.
GCF of 791,122,142 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,72,685
2 | 10, 72, 685 |
5 | 5, 36, 685 |
1, 36, 137 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 36 x 137 = 49320
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 10,72,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,72,685) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(10,72,685) x common factors =1 x 10 = 10
LCM(10,72,685) = ( 10 × 72 × 685 ) / 10
LCM(10,72,685) = 493200 / 10
LCM(10,72,685) = 49320
Lets's calculate GCF of 791,122,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49320/1
Therefore the LCM of Fractions 10/791,72/122,685/142 is 49320
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 791,122,142 . The biggest common factor number is the GCF number.
So the greatest common factor 791,122,142 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 10/791, 72/122, 685/142?
Answer: LCM of Numerators as per given numbers 10/791, 72/122, 685/142 is
LCM of Numerators i.e. for 10,72,685 is 49320
GCF of denominators i.e. for 791,122,142 is 1.
Thus, LCM of Fractions is 49320.Finally, LCM of Fractions for 10/791, 72/122, 685/142 is 49320.