Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 653/500, 8748/456 quickly i.e. 1428111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 653/500, 8748/456 is 1428111.
LCM(653/500, 8748/456) = 1428111
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 653/500,8748/456
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 653,8748
Least Common Multiple of Numerators i.e. LCM of 653,8748 is 5712444.
GCF of Denominators means GCF of 500,456 as per the given fractions.
GCF of 500,456 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 653,8748
Given numbers has no common factors except 1. So, there LCM is their product i.e 5712444
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 653,8748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,8748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,8748) x common factors =1 x 1 = 1
LCM(653,8748) = ( 653 × 8748 ) / 1
LCM(653,8748) = 5712444 / 1
LCM(653,8748) = 5712444
Lets's calculate GCF of 500,456
2 | 500, 456 |
2 | 250, 228 |
125, 114 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5712444/4
Therefore the LCM of Fractions 653/500,8748/456 is 1428111
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 500,456 . The biggest common factor number is the GCF number.
So the greatest common factor 500,456 is 4.
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 653/500, 8748/456?
Answer: LCM of Numerators as per given numbers 653/500, 8748/456 is
LCM of Numerators i.e. for 653,8748 is 5712444
GCF of denominators i.e. for 500,456 is 4.
Thus, LCM of Fractions is 1428111.Finally, LCM of Fractions for 653/500, 8748/456 is 1428111.