Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 707/706, 6328/2575 quickly i.e. 639128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 707/706, 6328/2575 is 639128.
LCM(707/706, 6328/2575) = 639128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 707/706,6328/2575
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 707,6328
Least Common Multiple of Numerators i.e. LCM of 707,6328 is 639128.
GCF of Denominators means GCF of 706,2575 as per the given fractions.
GCF of 706,2575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 707,6328
7 | 707, 6328 |
101, 904 |
∴ So the LCM of the given numbers is 7 x 101 x 904 = 639128
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 707,6328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,6328) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(707,6328) x common factors =7 x 1 = 7
LCM(707,6328) = ( 707 × 6328 ) / 7
LCM(707,6328) = 4473896 / 7
LCM(707,6328) = 639128
Lets's calculate GCF of 706,2575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 639128/1
Therefore the LCM of Fractions 707/706,6328/2575 is 639128
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 2575
List of positive integer factors of 2575 that divides 2575 without a remainder.
1,5,25,103,515,2575
Greatest Common Factor
We found the factors 706,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 706,2575 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 707/706, 6328/2575?
Answer: LCM of Numerators as per given numbers 707/706, 6328/2575 is
LCM of Numerators i.e. for 707,6328 is 639128
GCF of denominators i.e. for 706,2575 is 1.
Thus, LCM of Fractions is 639128.Finally, LCM of Fractions for 707/706, 6328/2575 is 639128.