Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/92, 17/43, 17/49, 13/801 quickly i.e. 2210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/92, 17/43, 17/49, 13/801 is 2210.
LCM(10/92, 17/43, 17/49, 13/801) = 2210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/92,17/43,17/49,13/801
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 10,17,17,13
Least Common Multiple of Numerators i.e. LCM of 10,17,17,13 is 2210.
GCF of Denominators means GCF of 92,43,49,801 as per the given fractions.
GCF of 92,43,49,801 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,17,17,13
17 | 10, 17, 17, 13 |
10, 1, 1, 13 |
∴ So the LCM of the given numbers is 17 x 10 x 1 x 1 x 13 = 2210
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 10,17,17,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,17,17,13) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(10,17,17,13) x common factors =1 x 17 = 17
LCM(10,17,17,13) = ( 10 × 17 × 17 × 13 ) / 17
LCM(10,17,17,13) = 37570 / 17
LCM(10,17,17,13) = 2210
Lets's calculate GCF of 92,43,49,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2210/1
Therefore the LCM of Fractions 10/92,17/43,17/49,13/801 is 2210
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 92,43,49,801 . The biggest common factor number is the GCF number.
So the greatest common factor 92,43,49,801 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 10/92, 17/43, 17/49, 13/801?
Answer: LCM of Numerators as per given numbers 10/92, 17/43, 17/49, 13/801 is
LCM of Numerators i.e. for 10,17,17,13 is 2210
GCF of denominators i.e. for 92,43,49,801 is 1.
Thus, LCM of Fractions is 2210.Finally, LCM of Fractions for 10/92, 17/43, 17/49, 13/801 is 2210.