Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/95, 392/83, 564/451 quickly i.e. 5250840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/95, 392/83, 564/451 is 5250840.
LCM(95/95, 392/83, 564/451) = 5250840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/95,392/83,564/451
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 95,392,564
Least Common Multiple of Numerators i.e. LCM of 95,392,564 is 5250840.
GCF of Denominators means GCF of 95,83,451 as per the given fractions.
GCF of 95,83,451 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,392,564
2 | 95, 392, 564 |
2 | 95, 196, 282 |
95, 98, 141 |
∴ So the LCM of the given numbers is 2 x 2 x 95 x 98 x 141 = 5250840
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 95,392,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,392,564) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(95,392,564) x common factors =1 x 4 = 4
LCM(95,392,564) = ( 95 × 392 × 564 ) / 4
LCM(95,392,564) = 21003360 / 4
LCM(95,392,564) = 5250840
Lets's calculate GCF of 95,83,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5250840/1
Therefore the LCM of Fractions 95/95,392/83,564/451 is 5250840
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 95,83,451 . The biggest common factor number is the GCF number.
So the greatest common factor 95,83,451 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 95/95, 392/83, 564/451?
Answer: LCM of Numerators as per given numbers 95/95, 392/83, 564/451 is
LCM of Numerators i.e. for 95,392,564 is 5250840
GCF of denominators i.e. for 95,83,451 is 1.
Thus, LCM of Fractions is 5250840.Finally, LCM of Fractions for 95/95, 392/83, 564/451 is 5250840.