Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/369, 84/536, 592/726 quickly i.e. 758352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/369, 84/536, 592/726 is 758352.
LCM(61/369, 84/536, 592/726) = 758352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/369,84/536,592/726
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 61,84,592
Least Common Multiple of Numerators i.e. LCM of 61,84,592 is 758352.
GCF of Denominators means GCF of 369,536,726 as per the given fractions.
GCF of 369,536,726 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,84,592
2 | 61, 84, 592 |
2 | 61, 42, 296 |
61, 21, 148 |
∴ So the LCM of the given numbers is 2 x 2 x 61 x 21 x 148 = 758352
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 61,84,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,84,592) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(61,84,592) x common factors =1 x 4 = 4
LCM(61,84,592) = ( 61 × 84 × 592 ) / 4
LCM(61,84,592) = 3033408 / 4
LCM(61,84,592) = 758352
Lets's calculate GCF of 369,536,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 758352/1
Therefore the LCM of Fractions 61/369,84/536,592/726 is 758352
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 369,536,726 . The biggest common factor number is the GCF number.
So the greatest common factor 369,536,726 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 61/369, 84/536, 592/726?
Answer: LCM of Numerators as per given numbers 61/369, 84/536, 592/726 is
LCM of Numerators i.e. for 61,84,592 is 758352
GCF of denominators i.e. for 369,536,726 is 1.
Thus, LCM of Fractions is 758352.Finally, LCM of Fractions for 61/369, 84/536, 592/726 is 758352.