Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/881, 27/700, 491/210 quickly i.e. 729135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/881, 27/700, 491/210 is 729135.
LCM(55/881, 27/700, 491/210) = 729135
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/881,27/700,491/210
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 55,27,491
Least Common Multiple of Numerators i.e. LCM of 55,27,491 is 729135.
GCF of Denominators means GCF of 881,700,210 as per the given fractions.
GCF of 881,700,210 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,27,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 729135
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 55,27,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,27,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,27,491) x common factors =1 x 1 = 1
LCM(55,27,491) = ( 55 × 27 × 491 ) / 1
LCM(55,27,491) = 729135 / 1
LCM(55,27,491) = 729135
Lets's calculate GCF of 881,700,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729135/1
Therefore the LCM of Fractions 55/881,27/700,491/210 is 729135
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
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
Greatest Common Factor
We found the factors 881,700,210 . The biggest common factor number is the GCF number.
So the greatest common factor 881,700,210 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 55/881, 27/700, 491/210?
Answer: LCM of Numerators as per given numbers 55/881, 27/700, 491/210 is
LCM of Numerators i.e. for 55,27,491 is 729135
GCF of denominators i.e. for 881,700,210 is 1.
Thus, LCM of Fractions is 729135.Finally, LCM of Fractions for 55/881, 27/700, 491/210 is 729135.