Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/454, 28/798, 567/327 quickly i.e. 106596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/454, 28/798, 567/327 is 106596.
LCM(94/454, 28/798, 567/327) = 106596
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/454,28/798,567/327
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 94,28,567
Least Common Multiple of Numerators i.e. LCM of 94,28,567 is 106596.
GCF of Denominators means GCF of 454,798,327 as per the given fractions.
GCF of 454,798,327 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,28,567
2 | 94, 28, 567 |
7 | 47, 14, 567 |
47, 2, 81 |
∴ So the LCM of the given numbers is 2 x 7 x 47 x 2 x 81 = 106596
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 94,28,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,28,567) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(94,28,567) x common factors =1 x 14 = 14
LCM(94,28,567) = ( 94 × 28 × 567 ) / 14
LCM(94,28,567) = 1492344 / 14
LCM(94,28,567) = 106596
Lets's calculate GCF of 454,798,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106596/1
Therefore the LCM of Fractions 94/454,28/798,567/327 is 106596
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 454,798,327 . The biggest common factor number is the GCF number.
So the greatest common factor 454,798,327 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 94/454, 28/798, 567/327?
Answer: LCM of Numerators as per given numbers 94/454, 28/798, 567/327 is
LCM of Numerators i.e. for 94,28,567 is 106596
GCF of denominators i.e. for 454,798,327 is 1.
Thus, LCM of Fractions is 106596.Finally, LCM of Fractions for 94/454, 28/798, 567/327 is 106596.