Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/551, 75/492, 318/647 quickly i.e. 373650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/551, 75/492, 318/647 is 373650.
LCM(47/551, 75/492, 318/647) = 373650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/551,75/492,318/647
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 47,75,318
Least Common Multiple of Numerators i.e. LCM of 47,75,318 is 373650.
GCF of Denominators means GCF of 551,492,647 as per the given fractions.
GCF of 551,492,647 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,75,318
3 | 47, 75, 318 |
47, 25, 106 |
∴ So the LCM of the given numbers is 3 x 47 x 25 x 106 = 373650
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 47,75,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,75,318) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,75,318) x common factors =1 x 3 = 3
LCM(47,75,318) = ( 47 × 75 × 318 ) / 3
LCM(47,75,318) = 1120950 / 3
LCM(47,75,318) = 373650
Lets's calculate GCF of 551,492,647
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373650/1
Therefore the LCM of Fractions 47/551,75/492,318/647 is 373650
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Greatest Common Factor
We found the factors 551,492,647 . The biggest common factor number is the GCF number.
So the greatest common factor 551,492,647 is 1.
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 47/551, 75/492, 318/647?
Answer: LCM of Numerators as per given numbers 47/551, 75/492, 318/647 is
LCM of Numerators i.e. for 47,75,318 is 373650
GCF of denominators i.e. for 551,492,647 is 1.
Thus, LCM of Fractions is 373650.Finally, LCM of Fractions for 47/551, 75/492, 318/647 is 373650.