Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/671, 4954/642 quickly i.e. 3720454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/671, 4954/642 is 3720454.
LCM(751/671, 4954/642) = 3720454
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/671,4954/642
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 751,4954
Least Common Multiple of Numerators i.e. LCM of 751,4954 is 3720454.
GCF of Denominators means GCF of 671,642 as per the given fractions.
GCF of 671,642 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,4954
Given numbers has no common factors except 1. So, there LCM is their product i.e 3720454
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 751,4954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,4954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,4954) x common factors =1 x 1 = 1
LCM(751,4954) = ( 751 × 4954 ) / 1
LCM(751,4954) = 3720454 / 1
LCM(751,4954) = 3720454
Lets's calculate GCF of 671,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3720454/1
Therefore the LCM of Fractions 751/671,4954/642 is 3720454
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 671,642 . The biggest common factor number is the GCF number.
So the greatest common factor 671,642 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 751/671, 4954/642?
Answer: LCM of Numerators as per given numbers 751/671, 4954/642 is
LCM of Numerators i.e. for 751,4954 is 3720454
GCF of denominators i.e. for 671,642 is 1.
Thus, LCM of Fractions is 3720454.Finally, LCM of Fractions for 751/671, 4954/642 is 3720454.