Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 278/924, 5419/576 quickly i.e. 1506482/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 278/924, 5419/576 is 1506482/12.
LCM(278/924, 5419/576) = 1506482/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 278/924,5419/576
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 278,5419
Least Common Multiple of Numerators i.e. LCM of 278,5419 is 1506482.
GCF of Denominators means GCF of 924,576 as per the given fractions.
GCF of 924,576 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 278,5419
Given numbers has no common factors except 1. So, there LCM is their product i.e 1506482
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 278,5419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,5419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,5419) x common factors =1 x 1 = 1
LCM(278,5419) = ( 278 × 5419 ) / 1
LCM(278,5419) = 1506482 / 1
LCM(278,5419) = 1506482
Lets's calculate GCF of 924,576
2 | 924, 576 |
2 | 462, 288 |
3 | 231, 144 |
77, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1506482/12
Therefore the LCM of Fractions 278/924,5419/576 is 1506482/12
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 924,576 . The biggest common factor number is the GCF number.
So the greatest common factor 924,576 is 12.
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 278/924, 5419/576?
Answer: LCM of Numerators as per given numbers 278/924, 5419/576 is
LCM of Numerators i.e. for 278,5419 is 1506482
GCF of denominators i.e. for 924,576 is 12.
Thus, LCM of Fractions is 1506482/12.Finally, LCM of Fractions for 278/924, 5419/576 is 1506482/12.