Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/26, 83/98, 19/34, 37/74 quickly i.e. 5776551/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/26, 83/98, 19/34, 37/74 is 5776551/2.
LCM(99/26, 83/98, 19/34, 37/74) = 5776551/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/26,83/98,19/34,37/74
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 99,83,19,37
Least Common Multiple of Numerators i.e. LCM of 99,83,19,37 is 5776551.
GCF of Denominators means GCF of 26,98,34,74 as per the given fractions.
GCF of 26,98,34,74 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,83,19,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 5776551
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 99,83,19,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,83,19,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,83,19,37) x common factors =1 x 1 = 1
LCM(99,83,19,37) = ( 99 × 83 × 19 × 37 ) / 1
LCM(99,83,19,37) = 5776551 / 1
LCM(99,83,19,37) = 5776551
Lets's calculate GCF of 26,98,34,74
2 | 26, 98, 34, 74 |
13, 49, 17, 37 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5776551/2
Therefore the LCM of Fractions 99/26,83/98,19/34,37/74 is 5776551/2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors 26,98,34,74 . The biggest common factor number is the GCF number.
So the greatest common factor 26,98,34,74 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 99/26, 83/98, 19/34, 37/74?
Answer: LCM of Numerators as per given numbers 99/26, 83/98, 19/34, 37/74 is
LCM of Numerators i.e. for 99,83,19,37 is 5776551
GCF of denominators i.e. for 26,98,34,74 is 2.
Thus, LCM of Fractions is 5776551/2.Finally, LCM of Fractions for 99/26, 83/98, 19/34, 37/74 is 5776551/2.