Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/307, 88/457, 994/937 quickly i.e. 1618232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/307, 88/457, 994/937 is 1618232.
LCM(74/307, 88/457, 994/937) = 1618232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/307,88/457,994/937
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 74,88,994
Least Common Multiple of Numerators i.e. LCM of 74,88,994 is 1618232.
GCF of Denominators means GCF of 307,457,937 as per the given fractions.
GCF of 307,457,937 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,88,994
2 | 74, 88, 994 |
37, 44, 497 |
∴ So the LCM of the given numbers is 2 x 37 x 44 x 497 = 1618232
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 74,88,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,88,994) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,88,994) x common factors =2 x 2 = 4
LCM(74,88,994) = ( 74 × 88 × 994 ) / 4
LCM(74,88,994) = 6472928 / 4
LCM(74,88,994) = 1618232
Lets's calculate GCF of 307,457,937
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1618232/1
Therefore the LCM of Fractions 74/307,88/457,994/937 is 1618232
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Greatest Common Factor
We found the factors 307,457,937 . The biggest common factor number is the GCF number.
So the greatest common factor 307,457,937 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 74/307, 88/457, 994/937?
Answer: LCM of Numerators as per given numbers 74/307, 88/457, 994/937 is
LCM of Numerators i.e. for 74,88,994 is 1618232
GCF of denominators i.e. for 307,457,937 is 1.
Thus, LCM of Fractions is 1618232.Finally, LCM of Fractions for 74/307, 88/457, 994/937 is 1618232.