Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/124, 689/653, 394/335 quickly i.e. 12487436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/124, 689/653, 394/335 is 12487436.
LCM(92/124, 689/653, 394/335) = 12487436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/124,689/653,394/335
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 92,689,394
Least Common Multiple of Numerators i.e. LCM of 92,689,394 is 12487436.
GCF of Denominators means GCF of 124,653,335 as per the given fractions.
GCF of 124,653,335 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,689,394
2 | 92, 689, 394 |
46, 689, 197 |
∴ So the LCM of the given numbers is 2 x 46 x 689 x 197 = 12487436
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 92,689,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,689,394) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,689,394) x common factors =1 x 2 = 2
LCM(92,689,394) = ( 92 × 689 × 394 ) / 2
LCM(92,689,394) = 24974872 / 2
LCM(92,689,394) = 12487436
Lets's calculate GCF of 124,653,335
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12487436/1
Therefore the LCM of Fractions 92/124,689/653,394/335 is 12487436
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 124,653,335 . The biggest common factor number is the GCF number.
So the greatest common factor 124,653,335 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 92/124, 689/653, 394/335?
Answer: LCM of Numerators as per given numbers 92/124, 689/653, 394/335 is
LCM of Numerators i.e. for 92,689,394 is 12487436
GCF of denominators i.e. for 124,653,335 is 1.
Thus, LCM of Fractions is 12487436.Finally, LCM of Fractions for 92/124, 689/653, 394/335 is 12487436.