Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/52, 14/28, 21/34, 73/426 quickly i.e. 10731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/52, 14/28, 21/34, 73/426 is 10731.
LCM(98/52, 14/28, 21/34, 73/426) = 10731
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/52,14/28,21/34,73/426
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 98,14,21,73
Least Common Multiple of Numerators i.e. LCM of 98,14,21,73 is 21462.
GCF of Denominators means GCF of 52,28,34,426 as per the given fractions.
GCF of 52,28,34,426 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,14,21,73
2 | 98, 14, 21, 73 |
7 | 49, 7, 21, 73 |
1, 7, 3, 73 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 7 x 3 x 73 = 21462
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 98,14,21,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,14,21,73) = 1
common factors(in case of two or more numbers have common factors) = 98
GCF(98,14,21,73) x common factors =1 x 98 = 98
LCM(98,14,21,73) = ( 98 × 14 × 21 × 73 ) / 98
LCM(98,14,21,73) = 2103276 / 98
LCM(98,14,21,73) = 21462
Lets's calculate GCF of 52,28,34,426
2 | 52, 28, 34, 426 |
26, 14, 17, 213 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21462/2
Therefore the LCM of Fractions 98/52,14/28,21/34,73/426 is 10731
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 52,28,34,426 . The biggest common factor number is the GCF number.
So the greatest common factor 52,28,34,426 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 98/52, 14/28, 21/34, 73/426?
Answer: LCM of Numerators as per given numbers 98/52, 14/28, 21/34, 73/426 is
LCM of Numerators i.e. for 98,14,21,73 is 21462
GCF of denominators i.e. for 52,28,34,426 is 2.
Thus, LCM of Fractions is 10731.Finally, LCM of Fractions for 98/52, 14/28, 21/34, 73/426 is 10731.