Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8751/749, 7195/562 quickly i.e. 62963445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8751/749, 7195/562 is 62963445.
LCM(8751/749, 7195/562) = 62963445
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8751/749,7195/562
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 8751,7195
Least Common Multiple of Numerators i.e. LCM of 8751,7195 is 62963445.
GCF of Denominators means GCF of 749,562 as per the given fractions.
GCF of 749,562 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8751,7195
Given numbers has no common factors except 1. So, there LCM is their product i.e 62963445
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 8751,7195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8751,7195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8751,7195) x common factors =1 x 1 = 1
LCM(8751,7195) = ( 8751 × 7195 ) / 1
LCM(8751,7195) = 62963445 / 1
LCM(8751,7195) = 62963445
Lets's calculate GCF of 749,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62963445/1
Therefore the LCM of Fractions 8751/749,7195/562 is 62963445
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 749,562 . The biggest common factor number is the GCF number.
So the greatest common factor 749,562 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 8751/749, 7195/562?
Answer: LCM of Numerators as per given numbers 8751/749, 7195/562 is
LCM of Numerators i.e. for 8751,7195 is 62963445
GCF of denominators i.e. for 749,562 is 1.
Thus, LCM of Fractions is 62963445.Finally, LCM of Fractions for 8751/749, 7195/562 is 62963445.