Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/759, 74/946 quickly i.e. 3034/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/759, 74/946 is 3034/11.
LCM(41/759, 74/946) = 3034/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/759,74/946
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 41,74
Least Common Multiple of Numerators i.e. LCM of 41,74 is 3034.
GCF of Denominators means GCF of 759,946 as per the given fractions.
GCF of 759,946 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,74
Given numbers has no common factors except 1. So, there LCM is their product i.e 3034
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 41,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,74) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,74) x common factors =1 x 1 = 1
LCM(41,74) = ( 41 × 74 ) / 1
LCM(41,74) = 3034 / 1
LCM(41,74) = 3034
Lets's calculate GCF of 759,946
11 | 759, 946 |
69, 86 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3034/11
Therefore the LCM of Fractions 41/759,74/946 is 3034/11
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 759,946 . The biggest common factor number is the GCF number.
So the greatest common factor 759,946 is 11.
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 41/759, 74/946?
Answer: LCM of Numerators as per given numbers 41/759, 74/946 is
LCM of Numerators i.e. for 41,74 is 3034
GCF of denominators i.e. for 759,946 is 11.
Thus, LCM of Fractions is 3034/11.Finally, LCM of Fractions for 41/759, 74/946 is 3034/11.