Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/602, 654/525, 647/851 quickly i.e. 16925520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/602, 654/525, 647/851 is 16925520.
LCM(80/602, 654/525, 647/851) = 16925520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/602,654/525,647/851
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 80,654,647
Least Common Multiple of Numerators i.e. LCM of 80,654,647 is 16925520.
GCF of Denominators means GCF of 602,525,851 as per the given fractions.
GCF of 602,525,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,654,647
2 | 80, 654, 647 |
40, 327, 647 |
∴ So the LCM of the given numbers is 2 x 40 x 327 x 647 = 16925520
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 80,654,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,654,647) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(80,654,647) x common factors =1 x 2 = 2
LCM(80,654,647) = ( 80 × 654 × 647 ) / 2
LCM(80,654,647) = 33851040 / 2
LCM(80,654,647) = 16925520
Lets's calculate GCF of 602,525,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16925520/1
Therefore the LCM of Fractions 80/602,654/525,647/851 is 16925520
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 602,525,851 . The biggest common factor number is the GCF number.
So the greatest common factor 602,525,851 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 80/602, 654/525, 647/851?
Answer: LCM of Numerators as per given numbers 80/602, 654/525, 647/851 is
LCM of Numerators i.e. for 80,654,647 is 16925520
GCF of denominators i.e. for 602,525,851 is 1.
Thus, LCM of Fractions is 16925520.Finally, LCM of Fractions for 80/602, 654/525, 647/851 is 16925520.