Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/544, 53/258, 465/982 quickly i.e. 640770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/544, 53/258, 465/982 is 640770.
LCM(52/544, 53/258, 465/982) = 640770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/544,53/258,465/982
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 52,53,465
Least Common Multiple of Numerators i.e. LCM of 52,53,465 is 1281540.
GCF of Denominators means GCF of 544,258,982 as per the given fractions.
GCF of 544,258,982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,53,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 1281540
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 52,53,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,53,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,53,465) x common factors =1 x 1 = 1
LCM(52,53,465) = ( 52 × 53 × 465 ) / 1
LCM(52,53,465) = 1281540 / 1
LCM(52,53,465) = 1281540
Lets's calculate GCF of 544,258,982
2 | 544, 258, 982 |
272, 129, 491 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1281540/2
Therefore the LCM of Fractions 52/544,53/258,465/982 is 640770
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 544,258,982 . The biggest common factor number is the GCF number.
So the greatest common factor 544,258,982 is 2.
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 52/544, 53/258, 465/982?
Answer: LCM of Numerators as per given numbers 52/544, 53/258, 465/982 is
LCM of Numerators i.e. for 52,53,465 is 1281540
GCF of denominators i.e. for 544,258,982 is 2.
Thus, LCM of Fractions is 640770.Finally, LCM of Fractions for 52/544, 53/258, 465/982 is 640770.