Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/85, 549/92, 938/136 quickly i.e. 15963822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/85, 549/92, 938/136 is 15963822.
LCM(93/85, 549/92, 938/136) = 15963822
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/85,549/92,938/136
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 93,549,938
Least Common Multiple of Numerators i.e. LCM of 93,549,938 is 15963822.
GCF of Denominators means GCF of 85,92,136 as per the given fractions.
GCF of 85,92,136 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,549,938
3 | 93, 549, 938 |
31, 183, 938 |
∴ So the LCM of the given numbers is 3 x 31 x 183 x 938 = 15963822
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 93,549,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,549,938) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,549,938) x common factors =1 x 3 = 3
LCM(93,549,938) = ( 93 × 549 × 938 ) / 3
LCM(93,549,938) = 47891466 / 3
LCM(93,549,938) = 15963822
Lets's calculate GCF of 85,92,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15963822/1
Therefore the LCM of Fractions 93/85,549/92,938/136 is 15963822
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 85,92,136 . The biggest common factor number is the GCF number.
So the greatest common factor 85,92,136 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 93/85, 549/92, 938/136?
Answer: LCM of Numerators as per given numbers 93/85, 549/92, 938/136 is
LCM of Numerators i.e. for 93,549,938 is 15963822
GCF of denominators i.e. for 85,92,136 is 1.
Thus, LCM of Fractions is 15963822.Finally, LCM of Fractions for 93/85, 549/92, 938/136 is 15963822.