Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3607/266, 3077/9152 quickly i.e. 11098739/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3607/266, 3077/9152 is 11098739/2.
LCM(3607/266, 3077/9152) = 11098739/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3607/266,3077/9152
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 3607,3077
Least Common Multiple of Numerators i.e. LCM of 3607,3077 is 11098739.
GCF of Denominators means GCF of 266,9152 as per the given fractions.
GCF of 266,9152 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3607,3077
Given numbers has no common factors except 1. So, there LCM is their product i.e 11098739
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 3607,3077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3607,3077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3607,3077) x common factors =1 x 1 = 1
LCM(3607,3077) = ( 3607 × 3077 ) / 1
LCM(3607,3077) = 11098739 / 1
LCM(3607,3077) = 11098739
Lets's calculate GCF of 266,9152
2 | 266, 9152 |
133, 4576 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11098739/2
Therefore the LCM of Fractions 3607/266,3077/9152 is 11098739/2
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 9152
List of positive integer factors of 9152 that divides 9152 without a remainder.
1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Greatest Common Factor
We found the factors 266,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 266,9152 is 2.
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 3607/266, 3077/9152?
Answer: LCM of Numerators as per given numbers 3607/266, 3077/9152 is
LCM of Numerators i.e. for 3607,3077 is 11098739
GCF of denominators i.e. for 266,9152 is 2.
Thus, LCM of Fractions is 11098739/2.Finally, LCM of Fractions for 3607/266, 3077/9152 is 11098739/2.