Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/47, 619/94, 679/489 quickly i.e. 66827859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/47, 619/94, 679/489 is 66827859.
LCM(159/47, 619/94, 679/489) = 66827859
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/47,619/94,679/489
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 159,619,679
Least Common Multiple of Numerators i.e. LCM of 159,619,679 is 66827859.
GCF of Denominators means GCF of 47,94,489 as per the given fractions.
GCF of 47,94,489 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,619,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 66827859
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 159,619,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,619,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,619,679) x common factors =1 x 1 = 1
LCM(159,619,679) = ( 159 × 619 × 679 ) / 1
LCM(159,619,679) = 66827859 / 1
LCM(159,619,679) = 66827859
Lets's calculate GCF of 47,94,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66827859/1
Therefore the LCM of Fractions 159/47,619/94,679/489 is 66827859
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 47,94,489 . The biggest common factor number is the GCF number.
So the greatest common factor 47,94,489 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 159/47, 619/94, 679/489?
Answer: LCM of Numerators as per given numbers 159/47, 619/94, 679/489 is
LCM of Numerators i.e. for 159,619,679 is 66827859
GCF of denominators i.e. for 47,94,489 is 1.
Thus, LCM of Fractions is 66827859.Finally, LCM of Fractions for 159/47, 619/94, 679/489 is 66827859.