Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4692/911, 6114/911 quickly i.e. 4781148/911 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4692/911, 6114/911 is 4781148/911.
LCM(4692/911, 6114/911) = 4781148/911
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4692/911,6114/911
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 4692,6114
Least Common Multiple of Numerators i.e. LCM of 4692,6114 is 4781148.
GCF of Denominators means GCF of 911,911 as per the given fractions.
GCF of 911,911 is 911 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4692,6114
2 | 4692, 6114 |
3 | 2346, 3057 |
782, 1019 |
∴ So the LCM of the given numbers is 2 x 3 x 782 x 1019 = 4781148
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 4692,6114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4692,6114) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(4692,6114) x common factors =6 x 1 = 6
LCM(4692,6114) = ( 4692 × 6114 ) / 6
LCM(4692,6114) = 28686888 / 6
LCM(4692,6114) = 4781148
Lets's calculate GCF of 911,911
911 | 911, 911 |
1, 1 |
∴ So the GCF of the given numbers is 911 = 911
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4781148/911
Therefore the LCM of Fractions 4692/911,6114/911 is 4781148/911
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 911,911 . The biggest common factor number is the GCF number.
So the greatest common factor 911,911 is 911.
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 4692/911, 6114/911?
Answer: LCM of Numerators as per given numbers 4692/911, 6114/911 is
LCM of Numerators i.e. for 4692,6114 is 4781148
GCF of denominators i.e. for 911,911 is 911.
Thus, LCM of Fractions is 4781148/911.Finally, LCM of Fractions for 4692/911, 6114/911 is 4781148/911.