Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/637, 862/487, 405/272 quickly i.e. 48526290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/637, 862/487, 405/272 is 48526290.
LCM(695/637, 862/487, 405/272) = 48526290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/637,862/487,405/272
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 695,862,405
Least Common Multiple of Numerators i.e. LCM of 695,862,405 is 48526290.
GCF of Denominators means GCF of 637,487,272 as per the given fractions.
GCF of 637,487,272 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,862,405
5 | 695, 862, 405 |
139, 862, 81 |
∴ So the LCM of the given numbers is 5 x 139 x 862 x 81 = 48526290
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 695,862,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,862,405) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(695,862,405) x common factors =1 x 5 = 5
LCM(695,862,405) = ( 695 × 862 × 405 ) / 5
LCM(695,862,405) = 242631450 / 5
LCM(695,862,405) = 48526290
Lets's calculate GCF of 637,487,272
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48526290/1
Therefore the LCM of Fractions 695/637,862/487,405/272 is 48526290
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 637,487,272 . The biggest common factor number is the GCF number.
So the greatest common factor 637,487,272 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 695/637, 862/487, 405/272?
Answer: LCM of Numerators as per given numbers 695/637, 862/487, 405/272 is
LCM of Numerators i.e. for 695,862,405 is 48526290
GCF of denominators i.e. for 637,487,272 is 1.
Thus, LCM of Fractions is 48526290.Finally, LCM of Fractions for 695/637, 862/487, 405/272 is 48526290.