Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/776, 8001/4470 quickly i.e. 32004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/776, 8001/4470 is 32004.
LCM(56/776, 8001/4470) = 32004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/776,8001/4470
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 56,8001
Least Common Multiple of Numerators i.e. LCM of 56,8001 is 64008.
GCF of Denominators means GCF of 776,4470 as per the given fractions.
GCF of 776,4470 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,8001
7 | 56, 8001 |
8, 1143 |
∴ So the LCM of the given numbers is 7 x 8 x 1143 = 64008
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 56,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,8001) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(56,8001) x common factors =7 x 1 = 7
LCM(56,8001) = ( 56 × 8001 ) / 7
LCM(56,8001) = 448056 / 7
LCM(56,8001) = 64008
Lets's calculate GCF of 776,4470
2 | 776, 4470 |
388, 2235 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64008/2
Therefore the LCM of Fractions 56/776,8001/4470 is 32004
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 4470
List of positive integer factors of 4470 that divides 4470 without a remainder.
1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470
Greatest Common Factor
We found the factors 776,4470 . The biggest common factor number is the GCF number.
So the greatest common factor 776,4470 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 56/776, 8001/4470?
Answer: LCM of Numerators as per given numbers 56/776, 8001/4470 is
LCM of Numerators i.e. for 56,8001 is 64008
GCF of denominators i.e. for 776,4470 is 2.
Thus, LCM of Fractions is 32004.Finally, LCM of Fractions for 56/776, 8001/4470 is 32004.