Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6100/918, 9636/5304 quickly i.e. 14694900/102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6100/918, 9636/5304 is 14694900/102.
LCM(6100/918, 9636/5304) = 14694900/102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6100/918,9636/5304
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 6100,9636
Least Common Multiple of Numerators i.e. LCM of 6100,9636 is 14694900.
GCF of Denominators means GCF of 918,5304 as per the given fractions.
GCF of 918,5304 is 102 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6100,9636
2 | 6100, 9636 |
2 | 3050, 4818 |
1525, 2409 |
∴ So the LCM of the given numbers is 2 x 2 x 1525 x 2409 = 14694900
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 6100,9636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6100,9636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6100,9636) x common factors =4 x 1 = 4
LCM(6100,9636) = ( 6100 × 9636 ) / 4
LCM(6100,9636) = 58779600 / 4
LCM(6100,9636) = 14694900
Lets's calculate GCF of 918,5304
2 | 918, 5304 |
3 | 459, 2652 |
17 | 153, 884 |
9, 52 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14694900/102
Therefore the LCM of Fractions 6100/918,9636/5304 is 14694900/102
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 5304
List of positive integer factors of 5304 that divides 5304 without a remainder.
1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Greatest Common Factor
We found the factors 918,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 918,5304 is 102.
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 6100/918, 9636/5304?
Answer: LCM of Numerators as per given numbers 6100/918, 9636/5304 is
LCM of Numerators i.e. for 6100,9636 is 14694900
GCF of denominators i.e. for 918,5304 is 102.
Thus, LCM of Fractions is 14694900/102.Finally, LCM of Fractions for 6100/918, 9636/5304 is 14694900/102.