Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/983, 55/226, 435/746 quickly i.e. 90915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/983, 55/226, 435/746 is 90915.
LCM(19/983, 55/226, 435/746) = 90915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/983,55/226,435/746
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 19,55,435
Least Common Multiple of Numerators i.e. LCM of 19,55,435 is 90915.
GCF of Denominators means GCF of 983,226,746 as per the given fractions.
GCF of 983,226,746 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,55,435
5 | 19, 55, 435 |
19, 11, 87 |
∴ So the LCM of the given numbers is 5 x 19 x 11 x 87 = 90915
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 19,55,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,55,435) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(19,55,435) x common factors =1 x 5 = 5
LCM(19,55,435) = ( 19 × 55 × 435 ) / 5
LCM(19,55,435) = 454575 / 5
LCM(19,55,435) = 90915
Lets's calculate GCF of 983,226,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90915/1
Therefore the LCM of Fractions 19/983,55/226,435/746 is 90915
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 983,226,746 . The biggest common factor number is the GCF number.
So the greatest common factor 983,226,746 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 19/983, 55/226, 435/746?
Answer: LCM of Numerators as per given numbers 19/983, 55/226, 435/746 is
LCM of Numerators i.e. for 19,55,435 is 90915
GCF of denominators i.e. for 983,226,746 is 1.
Thus, LCM of Fractions is 90915.Finally, LCM of Fractions for 19/983, 55/226, 435/746 is 90915.