Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/351, 7129/5661 quickly i.e. 4790688/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/351, 7129/5661 is 4790688/9.
LCM(672/351, 7129/5661) = 4790688/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/351,7129/5661
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 672,7129
Least Common Multiple of Numerators i.e. LCM of 672,7129 is 4790688.
GCF of Denominators means GCF of 351,5661 as per the given fractions.
GCF of 351,5661 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,7129
Given numbers has no common factors except 1. So, there LCM is their product i.e 4790688
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 672,7129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,7129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(672,7129) x common factors =1 x 1 = 1
LCM(672,7129) = ( 672 × 7129 ) / 1
LCM(672,7129) = 4790688 / 1
LCM(672,7129) = 4790688
Lets's calculate GCF of 351,5661
3 | 351, 5661 |
3 | 117, 1887 |
39, 629 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4790688/9
Therefore the LCM of Fractions 672/351,7129/5661 is 4790688/9
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 5661
List of positive integer factors of 5661 that divides 5661 without a remainder.
1,3,9,17,37,51,111,153,333,629,1887,5661
Greatest Common Factor
We found the factors 351,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 351,5661 is 9.
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 672/351, 7129/5661?
Answer: LCM of Numerators as per given numbers 672/351, 7129/5661 is
LCM of Numerators i.e. for 672,7129 is 4790688
GCF of denominators i.e. for 351,5661 is 9.
Thus, LCM of Fractions is 4790688/9.Finally, LCM of Fractions for 672/351, 7129/5661 is 4790688/9.