Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 569/62, 473/17, 236/542 quickly i.e. 63516332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 569/62, 473/17, 236/542 is 63516332.
LCM(569/62, 473/17, 236/542) = 63516332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 569/62,473/17,236/542
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 569,473,236
Least Common Multiple of Numerators i.e. LCM of 569,473,236 is 63516332.
GCF of Denominators means GCF of 62,17,542 as per the given fractions.
GCF of 62,17,542 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 569,473,236
Given numbers has no common factors except 1. So, there LCM is their product i.e 63516332
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 569,473,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,473,236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,473,236) x common factors =1 x 1 = 1
LCM(569,473,236) = ( 569 × 473 × 236 ) / 1
LCM(569,473,236) = 63516332 / 1
LCM(569,473,236) = 63516332
Lets's calculate GCF of 62,17,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63516332/1
Therefore the LCM of Fractions 569/62,473/17,236/542 is 63516332
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 62,17,542 . The biggest common factor number is the GCF number.
So the greatest common factor 62,17,542 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 569/62, 473/17, 236/542?
Answer: LCM of Numerators as per given numbers 569/62, 473/17, 236/542 is
LCM of Numerators i.e. for 569,473,236 is 63516332
GCF of denominators i.e. for 62,17,542 is 1.
Thus, LCM of Fractions is 63516332.Finally, LCM of Fractions for 569/62, 473/17, 236/542 is 63516332.