Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4495/434, 5025/8753 quickly i.e. 4517475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4495/434, 5025/8753 is 4517475.
LCM(4495/434, 5025/8753) = 4517475
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4495/434,5025/8753
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 4495,5025
Least Common Multiple of Numerators i.e. LCM of 4495,5025 is 4517475.
GCF of Denominators means GCF of 434,8753 as per the given fractions.
GCF of 434,8753 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4495,5025
5 | 4495, 5025 |
899, 1005 |
∴ So the LCM of the given numbers is 5 x 899 x 1005 = 4517475
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 4495,5025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4495,5025) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(4495,5025) x common factors =5 x 1 = 5
LCM(4495,5025) = ( 4495 × 5025 ) / 5
LCM(4495,5025) = 22587375 / 5
LCM(4495,5025) = 4517475
Lets's calculate GCF of 434,8753
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4517475/1
Therefore the LCM of Fractions 4495/434,5025/8753 is 4517475
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 8753
List of positive integer factors of 8753 that divides 8753 without a remainder.
1,8753
Greatest Common Factor
We found the factors 434,8753 . The biggest common factor number is the GCF number.
So the greatest common factor 434,8753 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 4495/434, 5025/8753?
Answer: LCM of Numerators as per given numbers 4495/434, 5025/8753 is
LCM of Numerators i.e. for 4495,5025 is 4517475
GCF of denominators i.e. for 434,8753 is 1.
Thus, LCM of Fractions is 4517475.Finally, LCM of Fractions for 4495/434, 5025/8753 is 4517475.