Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 267/48, 280/92, 774/336 quickly i.e. 2411010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 267/48, 280/92, 774/336 is 2411010.
LCM(267/48, 280/92, 774/336) = 2411010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 267/48,280/92,774/336
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 267,280,774
Least Common Multiple of Numerators i.e. LCM of 267,280,774 is 9644040.
GCF of Denominators means GCF of 48,92,336 as per the given fractions.
GCF of 48,92,336 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 267,280,774
2 | 267, 280, 774 |
3 | 267, 140, 387 |
89, 140, 129 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 140 x 129 = 9644040
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 267,280,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,280,774) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(267,280,774) x common factors =1 x 6 = 6
LCM(267,280,774) = ( 267 × 280 × 774 ) / 6
LCM(267,280,774) = 57864240 / 6
LCM(267,280,774) = 9644040
Lets's calculate GCF of 48,92,336
2 | 48, 92, 336 |
2 | 24, 46, 168 |
12, 23, 84 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9644040/4
Therefore the LCM of Fractions 267/48,280/92,774/336 is 2411010
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 48,92,336 . The biggest common factor number is the GCF number.
So the greatest common factor 48,92,336 is 4.
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 267/48, 280/92, 774/336?
Answer: LCM of Numerators as per given numbers 267/48, 280/92, 774/336 is
LCM of Numerators i.e. for 267,280,774 is 9644040
GCF of denominators i.e. for 48,92,336 is 4.
Thus, LCM of Fractions is 2411010.Finally, LCM of Fractions for 267/48, 280/92, 774/336 is 2411010.