Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/40, 511/10, 801/676 quickly i.e. 156356802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/40, 511/10, 801/676 is 156356802.
LCM(764/40, 511/10, 801/676) = 156356802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/40,511/10,801/676
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 764,511,801
Least Common Multiple of Numerators i.e. LCM of 764,511,801 is 312713604.
GCF of Denominators means GCF of 40,10,676 as per the given fractions.
GCF of 40,10,676 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,511,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 312713604
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 764,511,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,511,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,511,801) x common factors =1 x 1 = 1
LCM(764,511,801) = ( 764 × 511 × 801 ) / 1
LCM(764,511,801) = 312713604 / 1
LCM(764,511,801) = 312713604
Lets's calculate GCF of 40,10,676
2 | 40, 10, 676 |
20, 5, 338 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312713604/2
Therefore the LCM of Fractions 764/40,511/10,801/676 is 156356802
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 40,10,676 . The biggest common factor number is the GCF number.
So the greatest common factor 40,10,676 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 764/40, 511/10, 801/676?
Answer: LCM of Numerators as per given numbers 764/40, 511/10, 801/676 is
LCM of Numerators i.e. for 764,511,801 is 312713604
GCF of denominators i.e. for 40,10,676 is 2.
Thus, LCM of Fractions is 156356802.Finally, LCM of Fractions for 764/40, 511/10, 801/676 is 156356802.