Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 602/683, 680/182, 686/645 quickly i.e. 10029320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 602/683, 680/182, 686/645 is 10029320.
LCM(602/683, 680/182, 686/645) = 10029320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 602/683,680/182,686/645
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 602,680,686
Least Common Multiple of Numerators i.e. LCM of 602,680,686 is 10029320.
GCF of Denominators means GCF of 683,182,645 as per the given fractions.
GCF of 683,182,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 602,680,686
2 | 602, 680, 686 |
7 | 301, 340, 343 |
43, 340, 49 |
∴ So the LCM of the given numbers is 2 x 7 x 43 x 340 x 49 = 10029320
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 602,680,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,680,686) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(602,680,686) x common factors =2 x 14 = 28
LCM(602,680,686) = ( 602 × 680 × 686 ) / 28
LCM(602,680,686) = 280820960 / 28
LCM(602,680,686) = 10029320
Lets's calculate GCF of 683,182,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10029320/1
Therefore the LCM of Fractions 602/683,680/182,686/645 is 10029320
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 683,182,645 . The biggest common factor number is the GCF number.
So the greatest common factor 683,182,645 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 602/683, 680/182, 686/645?
Answer: LCM of Numerators as per given numbers 602/683, 680/182, 686/645 is
LCM of Numerators i.e. for 602,680,686 is 10029320
GCF of denominators i.e. for 683,182,645 is 1.
Thus, LCM of Fractions is 10029320.Finally, LCM of Fractions for 602/683, 680/182, 686/645 is 10029320.