Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 508/144, 341/169, 585/504 quickly i.e. 101338380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 508/144, 341/169, 585/504 is 101338380.
LCM(508/144, 341/169, 585/504) = 101338380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 508/144,341/169,585/504
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 508,341,585
Least Common Multiple of Numerators i.e. LCM of 508,341,585 is 101338380.
GCF of Denominators means GCF of 144,169,504 as per the given fractions.
GCF of 144,169,504 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 508,341,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 101338380
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 508,341,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,341,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,341,585) x common factors =1 x 1 = 1
LCM(508,341,585) = ( 508 × 341 × 585 ) / 1
LCM(508,341,585) = 101338380 / 1
LCM(508,341,585) = 101338380
Lets's calculate GCF of 144,169,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101338380/1
Therefore the LCM of Fractions 508/144,341/169,585/504 is 101338380
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 144,169,504 . The biggest common factor number is the GCF number.
So the greatest common factor 144,169,504 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 508/144, 341/169, 585/504?
Answer: LCM of Numerators as per given numbers 508/144, 341/169, 585/504 is
LCM of Numerators i.e. for 508,341,585 is 101338380
GCF of denominators i.e. for 144,169,504 is 1.
Thus, LCM of Fractions is 101338380.Finally, LCM of Fractions for 508/144, 341/169, 585/504 is 101338380.