Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5606/352, 2106/175 quickly i.e. 5903118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5606/352, 2106/175 is 5903118.
LCM(5606/352, 2106/175) = 5903118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5606/352,2106/175
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 5606,2106
Least Common Multiple of Numerators i.e. LCM of 5606,2106 is 5903118.
GCF of Denominators means GCF of 352,175 as per the given fractions.
GCF of 352,175 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5606,2106
2 | 5606, 2106 |
2803, 1053 |
∴ So the LCM of the given numbers is 2 x 2803 x 1053 = 5903118
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 5606,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5606,2106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5606,2106) x common factors =2 x 1 = 2
LCM(5606,2106) = ( 5606 × 2106 ) / 2
LCM(5606,2106) = 11806236 / 2
LCM(5606,2106) = 5903118
Lets's calculate GCF of 352,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5903118/1
Therefore the LCM of Fractions 5606/352,2106/175 is 5903118
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 352,175 . The biggest common factor number is the GCF number.
So the greatest common factor 352,175 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 5606/352, 2106/175?
Answer: LCM of Numerators as per given numbers 5606/352, 2106/175 is
LCM of Numerators i.e. for 5606,2106 is 5903118
GCF of denominators i.e. for 352,175 is 1.
Thus, LCM of Fractions is 5903118.Finally, LCM of Fractions for 5606/352, 2106/175 is 5903118.