Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/841, 80/789, 753/358 quickly i.e. 240960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/841, 80/789, 753/358 is 240960.
LCM(64/841, 80/789, 753/358) = 240960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/841,80/789,753/358
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 64,80,753
Least Common Multiple of Numerators i.e. LCM of 64,80,753 is 240960.
GCF of Denominators means GCF of 841,789,358 as per the given fractions.
GCF of 841,789,358 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,80,753
2 | 64, 80, 753 |
2 | 32, 40, 753 |
2 | 16, 20, 753 |
2 | 8, 10, 753 |
4, 5, 753 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 5 x 753 = 240960
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 64,80,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,80,753) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(64,80,753) x common factors =1 x 16 = 16
LCM(64,80,753) = ( 64 × 80 × 753 ) / 16
LCM(64,80,753) = 3855360 / 16
LCM(64,80,753) = 240960
Lets's calculate GCF of 841,789,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240960/1
Therefore the LCM of Fractions 64/841,80/789,753/358 is 240960
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 841,789,358 . The biggest common factor number is the GCF number.
So the greatest common factor 841,789,358 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 64/841, 80/789, 753/358?
Answer: LCM of Numerators as per given numbers 64/841, 80/789, 753/358 is
LCM of Numerators i.e. for 64,80,753 is 240960
GCF of denominators i.e. for 841,789,358 is 1.
Thus, LCM of Fractions is 240960.Finally, LCM of Fractions for 64/841, 80/789, 753/358 is 240960.