Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 951/888, 752/753, 727/674 quickly i.e. 519915504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 951/888, 752/753, 727/674 is 519915504.
LCM(951/888, 752/753, 727/674) = 519915504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 951/888,752/753,727/674
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 951,752,727
Least Common Multiple of Numerators i.e. LCM of 951,752,727 is 519915504.
GCF of Denominators means GCF of 888,753,674 as per the given fractions.
GCF of 888,753,674 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 951,752,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 519915504
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 951,752,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,752,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(951,752,727) x common factors =1 x 1 = 1
LCM(951,752,727) = ( 951 × 752 × 727 ) / 1
LCM(951,752,727) = 519915504 / 1
LCM(951,752,727) = 519915504
Lets's calculate GCF of 888,753,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 519915504/1
Therefore the LCM of Fractions 951/888,752/753,727/674 is 519915504
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 888,753,674 . The biggest common factor number is the GCF number.
So the greatest common factor 888,753,674 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 951/888, 752/753, 727/674?
Answer: LCM of Numerators as per given numbers 951/888, 752/753, 727/674 is
LCM of Numerators i.e. for 951,752,727 is 519915504
GCF of denominators i.e. for 888,753,674 is 1.
Thus, LCM of Fractions is 519915504.Finally, LCM of Fractions for 951/888, 752/753, 727/674 is 519915504.