Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/850, 54/211, 14/658 quickly i.e. 378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/850, 54/211, 14/658 is 378.
LCM(1/850, 54/211, 14/658) = 378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/850,54/211,14/658
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 1,54,14
Least Common Multiple of Numerators i.e. LCM of 1,54,14 is 378.
GCF of Denominators means GCF of 850,211,658 as per the given fractions.
GCF of 850,211,658 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,54,14
2 | 1, 54, 14 |
1, 27, 7 |
∴ So the LCM of the given numbers is 2 x 1 x 27 x 7 = 378
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 1,54,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,54,14) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(1,54,14) x common factors =1 x 2 = 2
LCM(1,54,14) = ( 1 × 54 × 14 ) / 2
LCM(1,54,14) = 756 / 2
LCM(1,54,14) = 378
Lets's calculate GCF of 850,211,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378/1
Therefore the LCM of Fractions 1/850,54/211,14/658 is 378
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 850,211,658 . The biggest common factor number is the GCF number.
So the greatest common factor 850,211,658 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 1/850, 54/211, 14/658?
Answer: LCM of Numerators as per given numbers 1/850, 54/211, 14/658 is
LCM of Numerators i.e. for 1,54,14 is 378
GCF of denominators i.e. for 850,211,658 is 1.
Thus, LCM of Fractions is 378.Finally, LCM of Fractions for 1/850, 54/211, 14/658 is 378.