Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 716/767, 562/572, 686/789 quickly i.e. 69010228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 716/767, 562/572, 686/789 is 69010228.
LCM(716/767, 562/572, 686/789) = 69010228
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 716/767,562/572,686/789
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 716,562,686
Least Common Multiple of Numerators i.e. LCM of 716,562,686 is 69010228.
GCF of Denominators means GCF of 767,572,789 as per the given fractions.
GCF of 767,572,789 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 716,562,686
2 | 716, 562, 686 |
358, 281, 343 |
∴ So the LCM of the given numbers is 2 x 358 x 281 x 343 = 69010228
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 716,562,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,562,686) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(716,562,686) x common factors =2 x 2 = 4
LCM(716,562,686) = ( 716 × 562 × 686 ) / 4
LCM(716,562,686) = 276040912 / 4
LCM(716,562,686) = 69010228
Lets's calculate GCF of 767,572,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69010228/1
Therefore the LCM of Fractions 716/767,562/572,686/789 is 69010228
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 767,572,789 . The biggest common factor number is the GCF number.
So the greatest common factor 767,572,789 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 716/767, 562/572, 686/789?
Answer: LCM of Numerators as per given numbers 716/767, 562/572, 686/789 is
LCM of Numerators i.e. for 716,562,686 is 69010228
GCF of denominators i.e. for 767,572,789 is 1.
Thus, LCM of Fractions is 69010228.Finally, LCM of Fractions for 716/767, 562/572, 686/789 is 69010228.