Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 610/629, 943/210, 586/292 quickly i.e. 168542390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 610/629, 943/210, 586/292 is 168542390.
LCM(610/629, 943/210, 586/292) = 168542390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 610/629,943/210,586/292
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 610,943,586
Least Common Multiple of Numerators i.e. LCM of 610,943,586 is 168542390.
GCF of Denominators means GCF of 629,210,292 as per the given fractions.
GCF of 629,210,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 610,943,586
2 | 610, 943, 586 |
305, 943, 293 |
∴ So the LCM of the given numbers is 2 x 305 x 943 x 293 = 168542390
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 610,943,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,943,586) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(610,943,586) x common factors =1 x 2 = 2
LCM(610,943,586) = ( 610 × 943 × 586 ) / 2
LCM(610,943,586) = 337084780 / 2
LCM(610,943,586) = 168542390
Lets's calculate GCF of 629,210,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168542390/1
Therefore the LCM of Fractions 610/629,943/210,586/292 is 168542390
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 629,210,292 . The biggest common factor number is the GCF number.
So the greatest common factor 629,210,292 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 610/629, 943/210, 586/292?
Answer: LCM of Numerators as per given numbers 610/629, 943/210, 586/292 is
LCM of Numerators i.e. for 610,943,586 is 168542390
GCF of denominators i.e. for 629,210,292 is 1.
Thus, LCM of Fractions is 168542390.Finally, LCM of Fractions for 610/629, 943/210, 586/292 is 168542390.