Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/651, 97/594, 707/195 quickly i.e. 754369/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/651, 97/594, 707/195 is 754369/3.
LCM(77/651, 97/594, 707/195) = 754369/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/651,97/594,707/195
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 77,97,707
Least Common Multiple of Numerators i.e. LCM of 77,97,707 is 754369.
GCF of Denominators means GCF of 651,594,195 as per the given fractions.
GCF of 651,594,195 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,97,707
7 | 77, 97, 707 |
11, 97, 101 |
∴ So the LCM of the given numbers is 7 x 11 x 97 x 101 = 754369
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 77,97,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,97,707) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(77,97,707) x common factors =1 x 7 = 7
LCM(77,97,707) = ( 77 × 97 × 707 ) / 7
LCM(77,97,707) = 5280583 / 7
LCM(77,97,707) = 754369
Lets's calculate GCF of 651,594,195
3 | 651, 594, 195 |
217, 198, 65 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 754369/3
Therefore the LCM of Fractions 77/651,97/594,707/195 is 754369/3
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 651,594,195 . The biggest common factor number is the GCF number.
So the greatest common factor 651,594,195 is 3.
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 77/651, 97/594, 707/195?
Answer: LCM of Numerators as per given numbers 77/651, 97/594, 707/195 is
LCM of Numerators i.e. for 77,97,707 is 754369
GCF of denominators i.e. for 651,594,195 is 3.
Thus, LCM of Fractions is 754369/3.Finally, LCM of Fractions for 77/651, 97/594, 707/195 is 754369/3.