Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 641/74, 759/94, 413/222 quickly i.e. 200932347/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 641/74, 759/94, 413/222 is 200932347/2.
LCM(641/74, 759/94, 413/222) = 200932347/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 641/74,759/94,413/222
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 641,759,413
Least Common Multiple of Numerators i.e. LCM of 641,759,413 is 200932347.
GCF of Denominators means GCF of 74,94,222 as per the given fractions.
GCF of 74,94,222 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 641,759,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 200932347
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 641,759,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,759,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,759,413) x common factors =1 x 1 = 1
LCM(641,759,413) = ( 641 × 759 × 413 ) / 1
LCM(641,759,413) = 200932347 / 1
LCM(641,759,413) = 200932347
Lets's calculate GCF of 74,94,222
2 | 74, 94, 222 |
37, 47, 111 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200932347/2
Therefore the LCM of Fractions 641/74,759/94,413/222 is 200932347/2
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 74,94,222 . The biggest common factor number is the GCF number.
So the greatest common factor 74,94,222 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 641/74, 759/94, 413/222?
Answer: LCM of Numerators as per given numbers 641/74, 759/94, 413/222 is
LCM of Numerators i.e. for 641,759,413 is 200932347
GCF of denominators i.e. for 74,94,222 is 2.
Thus, LCM of Fractions is 200932347/2.Finally, LCM of Fractions for 641/74, 759/94, 413/222 is 200932347/2.