Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/92, 45/898, 314/991 quickly i.e. 268470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/92, 45/898, 314/991 is 268470.
LCM(38/92, 45/898, 314/991) = 268470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/92,45/898,314/991
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 38,45,314
Least Common Multiple of Numerators i.e. LCM of 38,45,314 is 268470.
GCF of Denominators means GCF of 92,898,991 as per the given fractions.
GCF of 92,898,991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,45,314
2 | 38, 45, 314 |
19, 45, 157 |
∴ So the LCM of the given numbers is 2 x 19 x 45 x 157 = 268470
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 38,45,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,45,314) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,45,314) x common factors =1 x 2 = 2
LCM(38,45,314) = ( 38 × 45 × 314 ) / 2
LCM(38,45,314) = 536940 / 2
LCM(38,45,314) = 268470
Lets's calculate GCF of 92,898,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268470/1
Therefore the LCM of Fractions 38/92,45/898,314/991 is 268470
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 92,898,991 . The biggest common factor number is the GCF number.
So the greatest common factor 92,898,991 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 38/92, 45/898, 314/991?
Answer: LCM of Numerators as per given numbers 38/92, 45/898, 314/991 is
LCM of Numerators i.e. for 38,45,314 is 268470
GCF of denominators i.e. for 92,898,991 is 1.
Thus, LCM of Fractions is 268470.Finally, LCM of Fractions for 38/92, 45/898, 314/991 is 268470.