Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/457, 38/530, 306/380 quickly i.e. 319770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/457, 38/530, 306/380 is 319770.
LCM(55/457, 38/530, 306/380) = 319770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/457,38/530,306/380
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 55,38,306
Least Common Multiple of Numerators i.e. LCM of 55,38,306 is 319770.
GCF of Denominators means GCF of 457,530,380 as per the given fractions.
GCF of 457,530,380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,38,306
2 | 55, 38, 306 |
55, 19, 153 |
∴ So the LCM of the given numbers is 2 x 55 x 19 x 153 = 319770
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 55,38,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,38,306) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(55,38,306) x common factors =1 x 2 = 2
LCM(55,38,306) = ( 55 × 38 × 306 ) / 2
LCM(55,38,306) = 639540 / 2
LCM(55,38,306) = 319770
Lets's calculate GCF of 457,530,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319770/1
Therefore the LCM of Fractions 55/457,38/530,306/380 is 319770
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 457,530,380 . The biggest common factor number is the GCF number.
So the greatest common factor 457,530,380 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 55/457, 38/530, 306/380?
Answer: LCM of Numerators as per given numbers 55/457, 38/530, 306/380 is
LCM of Numerators i.e. for 55,38,306 is 319770
GCF of denominators i.e. for 457,530,380 is 1.
Thus, LCM of Fractions is 319770.Finally, LCM of Fractions for 55/457, 38/530, 306/380 is 319770.