Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 893/159, 2019/6988 quickly i.e. 1802967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 893/159, 2019/6988 is 1802967.
LCM(893/159, 2019/6988) = 1802967
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 893/159,2019/6988
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 893,2019
Least Common Multiple of Numerators i.e. LCM of 893,2019 is 1802967.
GCF of Denominators means GCF of 159,6988 as per the given fractions.
GCF of 159,6988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 893,2019
Given numbers has no common factors except 1. So, there LCM is their product i.e 1802967
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 893,2019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,2019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,2019) x common factors =1 x 1 = 1
LCM(893,2019) = ( 893 × 2019 ) / 1
LCM(893,2019) = 1802967 / 1
LCM(893,2019) = 1802967
Lets's calculate GCF of 159,6988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1802967/1
Therefore the LCM of Fractions 893/159,2019/6988 is 1802967
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 6988
List of positive integer factors of 6988 that divides 6988 without a remainder.
1,2,4,1747,3494,6988
Greatest Common Factor
We found the factors 159,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 159,6988 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 893/159, 2019/6988?
Answer: LCM of Numerators as per given numbers 893/159, 2019/6988 is
LCM of Numerators i.e. for 893,2019 is 1802967
GCF of denominators i.e. for 159,6988 is 1.
Thus, LCM of Fractions is 1802967.Finally, LCM of Fractions for 893/159, 2019/6988 is 1802967.