Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/69, 95/601, 46/188 quickly i.e. 4370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/69, 95/601, 46/188 is 4370.
LCM(2/69, 95/601, 46/188) = 4370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/69,95/601,46/188
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 2,95,46
Least Common Multiple of Numerators i.e. LCM of 2,95,46 is 4370.
GCF of Denominators means GCF of 69,601,188 as per the given fractions.
GCF of 69,601,188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,95,46
2 | 2, 95, 46 |
1, 95, 23 |
∴ So the LCM of the given numbers is 2 x 1 x 95 x 23 = 4370
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 2,95,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,95,46) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,95,46) x common factors =1 x 2 = 2
LCM(2,95,46) = ( 2 × 95 × 46 ) / 2
LCM(2,95,46) = 8740 / 2
LCM(2,95,46) = 4370
Lets's calculate GCF of 69,601,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4370/1
Therefore the LCM of Fractions 2/69,95/601,46/188 is 4370
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 69,601,188 . The biggest common factor number is the GCF number.
So the greatest common factor 69,601,188 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 2/69, 95/601, 46/188?
Answer: LCM of Numerators as per given numbers 2/69, 95/601, 46/188 is
LCM of Numerators i.e. for 2,95,46 is 4370
GCF of denominators i.e. for 69,601,188 is 1.
Thus, LCM of Fractions is 4370.Finally, LCM of Fractions for 2/69, 95/601, 46/188 is 4370.