Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/47, 414/89, 300/641 quickly i.e. 20700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/47, 414/89, 300/641 is 20700.
LCM(92/47, 414/89, 300/641) = 20700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/47,414/89,300/641
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 92,414,300
Least Common Multiple of Numerators i.e. LCM of 92,414,300 is 20700.
GCF of Denominators means GCF of 47,89,641 as per the given fractions.
GCF of 47,89,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,414,300
2 | 92, 414, 300 |
2 | 46, 207, 150 |
3 | 23, 207, 75 |
23 | 23, 69, 25 |
1, 3, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 3 x 25 = 20700
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 92,414,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,414,300) = 2
common factors(in case of two or more numbers have common factors) = 276
GCF(92,414,300) x common factors =2 x 276 = 552
LCM(92,414,300) = ( 92 × 414 × 300 ) / 552
LCM(92,414,300) = 11426400 / 552
LCM(92,414,300) = 20700
Lets's calculate GCF of 47,89,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20700/1
Therefore the LCM of Fractions 92/47,414/89,300/641 is 20700
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 47,89,641 . The biggest common factor number is the GCF number.
So the greatest common factor 47,89,641 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 92/47, 414/89, 300/641?
Answer: LCM of Numerators as per given numbers 92/47, 414/89, 300/641 is
LCM of Numerators i.e. for 92,414,300 is 20700
GCF of denominators i.e. for 47,89,641 is 1.
Thus, LCM of Fractions is 20700.Finally, LCM of Fractions for 92/47, 414/89, 300/641 is 20700.