Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/94, 686/55, 966/515 quickly i.e. 94668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/94, 686/55, 966/515 is 94668.
LCM(92/94, 686/55, 966/515) = 94668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/94,686/55,966/515
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 92,686,966
Least Common Multiple of Numerators i.e. LCM of 92,686,966 is 94668.
GCF of Denominators means GCF of 94,55,515 as per the given fractions.
GCF of 94,55,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,686,966
2 | 92, 686, 966 |
7 | 46, 343, 483 |
23 | 46, 49, 69 |
2, 49, 3 |
∴ So the LCM of the given numbers is 2 x 7 x 23 x 2 x 49 x 3 = 94668
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 92,686,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,686,966) = 2
common factors(in case of two or more numbers have common factors) = 322
GCF(92,686,966) x common factors =2 x 322 = 644
LCM(92,686,966) = ( 92 × 686 × 966 ) / 644
LCM(92,686,966) = 60966192 / 644
LCM(92,686,966) = 94668
Lets's calculate GCF of 94,55,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94668/1
Therefore the LCM of Fractions 92/94,686/55,966/515 is 94668
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 94,55,515 . The biggest common factor number is the GCF number.
So the greatest common factor 94,55,515 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 92/94, 686/55, 966/515?
Answer: LCM of Numerators as per given numbers 92/94, 686/55, 966/515 is
LCM of Numerators i.e. for 92,686,966 is 94668
GCF of denominators i.e. for 94,55,515 is 1.
Thus, LCM of Fractions is 94668.Finally, LCM of Fractions for 92/94, 686/55, 966/515 is 94668.