Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/637, 514/106, 276/535 quickly i.e. 2057028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/637, 514/106, 276/535 is 2057028.
LCM(58/637, 514/106, 276/535) = 2057028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/637,514/106,276/535
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 58,514,276
Least Common Multiple of Numerators i.e. LCM of 58,514,276 is 2057028.
GCF of Denominators means GCF of 637,106,535 as per the given fractions.
GCF of 637,106,535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,514,276
2 | 58, 514, 276 |
29, 257, 138 |
∴ So the LCM of the given numbers is 2 x 29 x 257 x 138 = 2057028
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 58,514,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,514,276) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(58,514,276) x common factors =2 x 2 = 4
LCM(58,514,276) = ( 58 × 514 × 276 ) / 4
LCM(58,514,276) = 8228112 / 4
LCM(58,514,276) = 2057028
Lets's calculate GCF of 637,106,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2057028/1
Therefore the LCM of Fractions 58/637,514/106,276/535 is 2057028
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 637,106,535 . The biggest common factor number is the GCF number.
So the greatest common factor 637,106,535 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 58/637, 514/106, 276/535?
Answer: LCM of Numerators as per given numbers 58/637, 514/106, 276/535 is
LCM of Numerators i.e. for 58,514,276 is 2057028
GCF of denominators i.e. for 637,106,535 is 1.
Thus, LCM of Fractions is 2057028.Finally, LCM of Fractions for 58/637, 514/106, 276/535 is 2057028.