Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7564/914, 8008/3776 quickly i.e. 7571564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7564/914, 8008/3776 is 7571564.
LCM(7564/914, 8008/3776) = 7571564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7564/914,8008/3776
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 7564,8008
Least Common Multiple of Numerators i.e. LCM of 7564,8008 is 15143128.
GCF of Denominators means GCF of 914,3776 as per the given fractions.
GCF of 914,3776 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7564,8008
2 | 7564, 8008 |
2 | 3782, 4004 |
1891, 2002 |
∴ So the LCM of the given numbers is 2 x 2 x 1891 x 2002 = 15143128
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 7564,8008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7564,8008) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(7564,8008) x common factors =4 x 1 = 4
LCM(7564,8008) = ( 7564 × 8008 ) / 4
LCM(7564,8008) = 60572512 / 4
LCM(7564,8008) = 15143128
Lets's calculate GCF of 914,3776
2 | 914, 3776 |
457, 1888 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15143128/2
Therefore the LCM of Fractions 7564/914,8008/3776 is 7571564
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 3776
List of positive integer factors of 3776 that divides 3776 without a remainder.
1,2,4,8,16,32,59,64,118,236,472,944,1888,3776
Greatest Common Factor
We found the factors 914,3776 . The biggest common factor number is the GCF number.
So the greatest common factor 914,3776 is 2.
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 7564/914, 8008/3776?
Answer: LCM of Numerators as per given numbers 7564/914, 8008/3776 is
LCM of Numerators i.e. for 7564,8008 is 15143128
GCF of denominators i.e. for 914,3776 is 2.
Thus, LCM of Fractions is 7571564.Finally, LCM of Fractions for 7564/914, 8008/3776 is 7571564.