Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/545, 755/347, 400/365 quickly i.e. 1872400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/545, 755/347, 400/365 is 1872400.
LCM(62/545, 755/347, 400/365) = 1872400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/545,755/347,400/365
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 62,755,400
Least Common Multiple of Numerators i.e. LCM of 62,755,400 is 1872400.
GCF of Denominators means GCF of 545,347,365 as per the given fractions.
GCF of 545,347,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,755,400
2 | 62, 755, 400 |
5 | 31, 755, 200 |
31, 151, 40 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 151 x 40 = 1872400
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 62,755,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,755,400) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(62,755,400) x common factors =1 x 10 = 10
LCM(62,755,400) = ( 62 × 755 × 400 ) / 10
LCM(62,755,400) = 18724000 / 10
LCM(62,755,400) = 1872400
Lets's calculate GCF of 545,347,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1872400/1
Therefore the LCM of Fractions 62/545,755/347,400/365 is 1872400
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 545,347,365 . The biggest common factor number is the GCF number.
So the greatest common factor 545,347,365 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 62/545, 755/347, 400/365?
Answer: LCM of Numerators as per given numbers 62/545, 755/347, 400/365 is
LCM of Numerators i.e. for 62,755,400 is 1872400
GCF of denominators i.e. for 545,347,365 is 1.
Thus, LCM of Fractions is 1872400.Finally, LCM of Fractions for 62/545, 755/347, 400/365 is 1872400.