Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/666, 1778/5473 quickly i.e. 51562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/666, 1778/5473 is 51562.
LCM(58/666, 1778/5473) = 51562
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/666,1778/5473
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 58,1778
Least Common Multiple of Numerators i.e. LCM of 58,1778 is 51562.
GCF of Denominators means GCF of 666,5473 as per the given fractions.
GCF of 666,5473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,1778
2 | 58, 1778 |
29, 889 |
∴ So the LCM of the given numbers is 2 x 29 x 889 = 51562
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 58,1778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,1778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,1778) x common factors =2 x 1 = 2
LCM(58,1778) = ( 58 × 1778 ) / 2
LCM(58,1778) = 103124 / 2
LCM(58,1778) = 51562
Lets's calculate GCF of 666,5473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51562/1
Therefore the LCM of Fractions 58/666,1778/5473 is 51562
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 5473
List of positive integer factors of 5473 that divides 5473 without a remainder.
1,13,421,5473
Greatest Common Factor
We found the factors 666,5473 . The biggest common factor number is the GCF number.
So the greatest common factor 666,5473 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 58/666, 1778/5473?
Answer: LCM of Numerators as per given numbers 58/666, 1778/5473 is
LCM of Numerators i.e. for 58,1778 is 51562
GCF of denominators i.e. for 666,5473 is 1.
Thus, LCM of Fractions is 51562.Finally, LCM of Fractions for 58/666, 1778/5473 is 51562.