Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/48, 70/997, 431/764 quickly i.e. 181020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/48, 70/997, 431/764 is 181020.
LCM(12/48, 70/997, 431/764) = 181020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/48,70/997,431/764
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 12,70,431
Least Common Multiple of Numerators i.e. LCM of 12,70,431 is 181020.
GCF of Denominators means GCF of 48,997,764 as per the given fractions.
GCF of 48,997,764 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,70,431
2 | 12, 70, 431 |
6, 35, 431 |
∴ So the LCM of the given numbers is 2 x 6 x 35 x 431 = 181020
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 12,70,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,70,431) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(12,70,431) x common factors =1 x 2 = 2
LCM(12,70,431) = ( 12 × 70 × 431 ) / 2
LCM(12,70,431) = 362040 / 2
LCM(12,70,431) = 181020
Lets's calculate GCF of 48,997,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181020/1
Therefore the LCM of Fractions 12/48,70/997,431/764 is 181020
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 48,997,764 . The biggest common factor number is the GCF number.
So the greatest common factor 48,997,764 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 12/48, 70/997, 431/764?
Answer: LCM of Numerators as per given numbers 12/48, 70/997, 431/764 is
LCM of Numerators i.e. for 12,70,431 is 181020
GCF of denominators i.e. for 48,997,764 is 1.
Thus, LCM of Fractions is 181020.Finally, LCM of Fractions for 12/48, 70/997, 431/764 is 181020.