Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/488, 57/583, 281/970 quickly i.e. 1505598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/488, 57/583, 281/970 is 1505598.
LCM(94/488, 57/583, 281/970) = 1505598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/488,57/583,281/970
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 94,57,281
Least Common Multiple of Numerators i.e. LCM of 94,57,281 is 1505598.
GCF of Denominators means GCF of 488,583,970 as per the given fractions.
GCF of 488,583,970 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,57,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 1505598
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 94,57,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,57,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,57,281) x common factors =1 x 1 = 1
LCM(94,57,281) = ( 94 × 57 × 281 ) / 1
LCM(94,57,281) = 1505598 / 1
LCM(94,57,281) = 1505598
Lets's calculate GCF of 488,583,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1505598/1
Therefore the LCM of Fractions 94/488,57/583,281/970 is 1505598
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 488,583,970 . The biggest common factor number is the GCF number.
So the greatest common factor 488,583,970 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 94/488, 57/583, 281/970?
Answer: LCM of Numerators as per given numbers 94/488, 57/583, 281/970 is
LCM of Numerators i.e. for 94,57,281 is 1505598
GCF of denominators i.e. for 488,583,970 is 1.
Thus, LCM of Fractions is 1505598.Finally, LCM of Fractions for 94/488, 57/583, 281/970 is 1505598.