Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/833, 597/705, 340/699 quickly i.e. 202980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/833, 597/705, 340/699 is 202980.
LCM(12/833, 597/705, 340/699) = 202980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/833,597/705,340/699
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 12,597,340
Least Common Multiple of Numerators i.e. LCM of 12,597,340 is 202980.
GCF of Denominators means GCF of 833,705,699 as per the given fractions.
GCF of 833,705,699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,597,340
2 | 12, 597, 340 |
2 | 6, 597, 170 |
3 | 3, 597, 85 |
1, 199, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 199 x 85 = 202980
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 12,597,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,597,340) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(12,597,340) x common factors =1 x 12 = 12
LCM(12,597,340) = ( 12 × 597 × 340 ) / 12
LCM(12,597,340) = 2435760 / 12
LCM(12,597,340) = 202980
Lets's calculate GCF of 833,705,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202980/1
Therefore the LCM of Fractions 12/833,597/705,340/699 is 202980
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 833,705,699 . The biggest common factor number is the GCF number.
So the greatest common factor 833,705,699 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 12/833, 597/705, 340/699?
Answer: LCM of Numerators as per given numbers 12/833, 597/705, 340/699 is
LCM of Numerators i.e. for 12,597,340 is 202980
GCF of denominators i.e. for 833,705,699 is 1.
Thus, LCM of Fractions is 202980.Finally, LCM of Fractions for 12/833, 597/705, 340/699 is 202980.