Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 172/99, 301/56, 860/786 quickly i.e. 6020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 172/99, 301/56, 860/786 is 6020.
LCM(172/99, 301/56, 860/786) = 6020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 172/99,301/56,860/786
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 172,301,860
Least Common Multiple of Numerators i.e. LCM of 172,301,860 is 6020.
GCF of Denominators means GCF of 99,56,786 as per the given fractions.
GCF of 99,56,786 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 172,301,860
2 | 172, 301, 860 |
2 | 86, 301, 430 |
43 | 43, 301, 215 |
1, 7, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 1 x 7 x 5 = 6020
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 172,301,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,301,860) = 43
common factors(in case of two or more numbers have common factors) = 172
GCF(172,301,860) x common factors =43 x 172 = 7396
LCM(172,301,860) = ( 172 × 301 × 860 ) / 7396
LCM(172,301,860) = 44523920 / 7396
LCM(172,301,860) = 6020
Lets's calculate GCF of 99,56,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6020/1
Therefore the LCM of Fractions 172/99,301/56,860/786 is 6020
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 99,56,786 . The biggest common factor number is the GCF number.
So the greatest common factor 99,56,786 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 172/99, 301/56, 860/786?
Answer: LCM of Numerators as per given numbers 172/99, 301/56, 860/786 is
LCM of Numerators i.e. for 172,301,860 is 6020
GCF of denominators i.e. for 99,56,786 is 1.
Thus, LCM of Fractions is 6020.Finally, LCM of Fractions for 172/99, 301/56, 860/786 is 6020.