Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 126/951, 1513/352 quickly i.e. 190638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 126/951, 1513/352 is 190638.
LCM(126/951, 1513/352) = 190638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 126/951,1513/352
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 126,1513
Least Common Multiple of Numerators i.e. LCM of 126,1513 is 190638.
GCF of Denominators means GCF of 951,352 as per the given fractions.
GCF of 951,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 126,1513
Given numbers has no common factors except 1. So, there LCM is their product i.e 190638
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 126,1513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,1513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,1513) x common factors =1 x 1 = 1
LCM(126,1513) = ( 126 × 1513 ) / 1
LCM(126,1513) = 190638 / 1
LCM(126,1513) = 190638
Lets's calculate GCF of 951,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190638/1
Therefore the LCM of Fractions 126/951,1513/352 is 190638
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 951,352 . The biggest common factor number is the GCF number.
So the greatest common factor 951,352 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 126/951, 1513/352?
Answer: LCM of Numerators as per given numbers 126/951, 1513/352 is
LCM of Numerators i.e. for 126,1513 is 190638
GCF of denominators i.e. for 951,352 is 1.
Thus, LCM of Fractions is 190638.Finally, LCM of Fractions for 126/951, 1513/352 is 190638.