Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 452/530, 175/239, 877/200 quickly i.e. 69370700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 452/530, 175/239, 877/200 is 69370700.
LCM(452/530, 175/239, 877/200) = 69370700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 452/530,175/239,877/200
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 452,175,877
Least Common Multiple of Numerators i.e. LCM of 452,175,877 is 69370700.
GCF of Denominators means GCF of 530,239,200 as per the given fractions.
GCF of 530,239,200 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 452,175,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 69370700
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 452,175,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,175,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,175,877) x common factors =1 x 1 = 1
LCM(452,175,877) = ( 452 × 175 × 877 ) / 1
LCM(452,175,877) = 69370700 / 1
LCM(452,175,877) = 69370700
Lets's calculate GCF of 530,239,200
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69370700/1
Therefore the LCM of Fractions 452/530,175/239,877/200 is 69370700
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 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 530,239,200 . The biggest common factor number is the GCF number.
So the greatest common factor 530,239,200 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 452/530, 175/239, 877/200?
Answer: LCM of Numerators as per given numbers 452/530, 175/239, 877/200 is
LCM of Numerators i.e. for 452,175,877 is 69370700
GCF of denominators i.e. for 530,239,200 is 1.
Thus, LCM of Fractions is 69370700.Finally, LCM of Fractions for 452/530, 175/239, 877/200 is 69370700.