Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/534, 9397/1606 quickly i.e. 1343771/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/534, 9397/1606 is 1343771/2.
LCM(143/534, 9397/1606) = 1343771/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/534,9397/1606
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 143,9397
Least Common Multiple of Numerators i.e. LCM of 143,9397 is 1343771.
GCF of Denominators means GCF of 534,1606 as per the given fractions.
GCF of 534,1606 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,9397
Given numbers has no common factors except 1. So, there LCM is their product i.e 1343771
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 143,9397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,9397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,9397) x common factors =1 x 1 = 1
LCM(143,9397) = ( 143 × 9397 ) / 1
LCM(143,9397) = 1343771 / 1
LCM(143,9397) = 1343771
Lets's calculate GCF of 534,1606
2 | 534, 1606 |
267, 803 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1343771/2
Therefore the LCM of Fractions 143/534,9397/1606 is 1343771/2
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 1606
List of positive integer factors of 1606 that divides 1606 without a remainder.
1,2,11,22,73,146,803,1606
Greatest Common Factor
We found the factors 534,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 534,1606 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 143/534, 9397/1606?
Answer: LCM of Numerators as per given numbers 143/534, 9397/1606 is
LCM of Numerators i.e. for 143,9397 is 1343771
GCF of denominators i.e. for 534,1606 is 2.
Thus, LCM of Fractions is 1343771/2.Finally, LCM of Fractions for 143/534, 9397/1606 is 1343771/2.