Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 767/69, 172/3048 quickly i.e. 131924/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 767/69, 172/3048 is 131924/3.
LCM(767/69, 172/3048) = 131924/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 767/69,172/3048
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 767,172
Least Common Multiple of Numerators i.e. LCM of 767,172 is 131924.
GCF of Denominators means GCF of 69,3048 as per the given fractions.
GCF of 69,3048 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 767,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 131924
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 767,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,172) x common factors =1 x 1 = 1
LCM(767,172) = ( 767 × 172 ) / 1
LCM(767,172) = 131924 / 1
LCM(767,172) = 131924
Lets's calculate GCF of 69,3048
3 | 69, 3048 |
23, 1016 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131924/3
Therefore the LCM of Fractions 767/69,172/3048 is 131924/3
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 3048
List of positive integer factors of 3048 that divides 3048 without a remainder.
1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Greatest Common Factor
We found the factors 69,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 69,3048 is 3.
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 767/69, 172/3048?
Answer: LCM of Numerators as per given numbers 767/69, 172/3048 is
LCM of Numerators i.e. for 767,172 is 131924
GCF of denominators i.e. for 69,3048 is 3.
Thus, LCM of Fractions is 131924/3.Finally, LCM of Fractions for 767/69, 172/3048 is 131924/3.