Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 556/94, 299/68, 347/284 quickly i.e. 28843334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 556/94, 299/68, 347/284 is 28843334.
LCM(556/94, 299/68, 347/284) = 28843334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 556/94,299/68,347/284
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 556,299,347
Least Common Multiple of Numerators i.e. LCM of 556,299,347 is 57686668.
GCF of Denominators means GCF of 94,68,284 as per the given fractions.
GCF of 94,68,284 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 556,299,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 57686668
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 556,299,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,299,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,299,347) x common factors =1 x 1 = 1
LCM(556,299,347) = ( 556 × 299 × 347 ) / 1
LCM(556,299,347) = 57686668 / 1
LCM(556,299,347) = 57686668
Lets's calculate GCF of 94,68,284
2 | 94, 68, 284 |
47, 34, 142 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57686668/2
Therefore the LCM of Fractions 556/94,299/68,347/284 is 28843334
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 94,68,284 . The biggest common factor number is the GCF number.
So the greatest common factor 94,68,284 is 2.
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 556/94, 299/68, 347/284?
Answer: LCM of Numerators as per given numbers 556/94, 299/68, 347/284 is
LCM of Numerators i.e. for 556,299,347 is 57686668
GCF of denominators i.e. for 94,68,284 is 2.
Thus, LCM of Fractions is 28843334.Finally, LCM of Fractions for 556/94, 299/68, 347/284 is 28843334.