Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 918/355, 213/467, 134/274 quickly i.e. 4366926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 918/355, 213/467, 134/274 is 4366926.
LCM(918/355, 213/467, 134/274) = 4366926
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 918/355,213/467,134/274
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 918,213,134
Least Common Multiple of Numerators i.e. LCM of 918,213,134 is 4366926.
GCF of Denominators means GCF of 355,467,274 as per the given fractions.
GCF of 355,467,274 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 918,213,134
2 | 918, 213, 134 |
3 | 459, 213, 67 |
153, 71, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 153 x 71 x 67 = 4366926
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 918,213,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,213,134) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(918,213,134) x common factors =1 x 6 = 6
LCM(918,213,134) = ( 918 × 213 × 134 ) / 6
LCM(918,213,134) = 26201556 / 6
LCM(918,213,134) = 4366926
Lets's calculate GCF of 355,467,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4366926/1
Therefore the LCM of Fractions 918/355,213/467,134/274 is 4366926
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 355,467,274 . The biggest common factor number is the GCF number.
So the greatest common factor 355,467,274 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 918/355, 213/467, 134/274?
Answer: LCM of Numerators as per given numbers 918/355, 213/467, 134/274 is
LCM of Numerators i.e. for 918,213,134 is 4366926
GCF of denominators i.e. for 355,467,274 is 1.
Thus, LCM of Fractions is 4366926.Finally, LCM of Fractions for 918/355, 213/467, 134/274 is 4366926.