Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/13, 510/58, 427/730 quickly i.e. 163545270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/13, 510/58, 427/730 is 163545270.
LCM(751/13, 510/58, 427/730) = 163545270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/13,510/58,427/730
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 751,510,427
Least Common Multiple of Numerators i.e. LCM of 751,510,427 is 163545270.
GCF of Denominators means GCF of 13,58,730 as per the given fractions.
GCF of 13,58,730 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,510,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 163545270
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 751,510,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,510,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,510,427) x common factors =1 x 1 = 1
LCM(751,510,427) = ( 751 × 510 × 427 ) / 1
LCM(751,510,427) = 163545270 / 1
LCM(751,510,427) = 163545270
Lets's calculate GCF of 13,58,730
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163545270/1
Therefore the LCM of Fractions 751/13,510/58,427/730 is 163545270
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 13,58,730 . The biggest common factor number is the GCF number.
So the greatest common factor 13,58,730 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 751/13, 510/58, 427/730?
Answer: LCM of Numerators as per given numbers 751/13, 510/58, 427/730 is
LCM of Numerators i.e. for 751,510,427 is 163545270
GCF of denominators i.e. for 13,58,730 is 1.
Thus, LCM of Fractions is 163545270.Finally, LCM of Fractions for 751/13, 510/58, 427/730 is 163545270.