Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 926/204, 111/698, 206/934 quickly i.e. 5293479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 926/204, 111/698, 206/934 is 5293479.
LCM(926/204, 111/698, 206/934) = 5293479
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 926/204,111/698,206/934
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 926,111,206
Least Common Multiple of Numerators i.e. LCM of 926,111,206 is 10586958.
GCF of Denominators means GCF of 204,698,934 as per the given fractions.
GCF of 204,698,934 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 926,111,206
2 | 926, 111, 206 |
463, 111, 103 |
∴ So the LCM of the given numbers is 2 x 463 x 111 x 103 = 10586958
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 926,111,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,111,206) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(926,111,206) x common factors =1 x 2 = 2
LCM(926,111,206) = ( 926 × 111 × 206 ) / 2
LCM(926,111,206) = 21173916 / 2
LCM(926,111,206) = 10586958
Lets's calculate GCF of 204,698,934
2 | 204, 698, 934 |
102, 349, 467 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10586958/2
Therefore the LCM of Fractions 926/204,111/698,206/934 is 5293479
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 204,698,934 . The biggest common factor number is the GCF number.
So the greatest common factor 204,698,934 is 2.
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 926/204, 111/698, 206/934?
Answer: LCM of Numerators as per given numbers 926/204, 111/698, 206/934 is
LCM of Numerators i.e. for 926,111,206 is 10586958
GCF of denominators i.e. for 204,698,934 is 2.
Thus, LCM of Fractions is 5293479.Finally, LCM of Fractions for 926/204, 111/698, 206/934 is 5293479.