Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/456, 75/898 quickly i.e. 2775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/456, 75/898 is 2775.
LCM(74/456, 75/898) = 2775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/456,75/898
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 74,75
Least Common Multiple of Numerators i.e. LCM of 74,75 is 5550.
GCF of Denominators means GCF of 456,898 as per the given fractions.
GCF of 456,898 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,75
Given numbers has no common factors except 1. So, there LCM is their product i.e 5550
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 74,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,75) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,75) x common factors =1 x 1 = 1
LCM(74,75) = ( 74 × 75 ) / 1
LCM(74,75) = 5550 / 1
LCM(74,75) = 5550
Lets's calculate GCF of 456,898
2 | 456, 898 |
228, 449 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5550/2
Therefore the LCM of Fractions 74/456,75/898 is 2775
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 456,898 . The biggest common factor number is the GCF number.
So the greatest common factor 456,898 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 74/456, 75/898?
Answer: LCM of Numerators as per given numbers 74/456, 75/898 is
LCM of Numerators i.e. for 74,75 is 5550
GCF of denominators i.e. for 456,898 is 2.
Thus, LCM of Fractions is 2775.Finally, LCM of Fractions for 74/456, 75/898 is 2775.