Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/126, 3545/6053 quickly i.e. 7090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/126, 3545/6053 is 7090.
LCM(10/126, 3545/6053) = 7090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/126,3545/6053
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 10,3545
Least Common Multiple of Numerators i.e. LCM of 10,3545 is 7090.
GCF of Denominators means GCF of 126,6053 as per the given fractions.
GCF of 126,6053 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,3545
5 | 10, 3545 |
2, 709 |
∴ So the LCM of the given numbers is 5 x 2 x 709 = 7090
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 10,3545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,3545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(10,3545) x common factors =5 x 1 = 5
LCM(10,3545) = ( 10 × 3545 ) / 5
LCM(10,3545) = 35450 / 5
LCM(10,3545) = 7090
Lets's calculate GCF of 126,6053
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7090/1
Therefore the LCM of Fractions 10/126,3545/6053 is 7090
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 6053
List of positive integer factors of 6053 that divides 6053 without a remainder.
1,6053
Greatest Common Factor
We found the factors 126,6053 . The biggest common factor number is the GCF number.
So the greatest common factor 126,6053 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 10/126, 3545/6053?
Answer: LCM of Numerators as per given numbers 10/126, 3545/6053 is
LCM of Numerators i.e. for 10,3545 is 7090
GCF of denominators i.e. for 126,6053 is 1.
Thus, LCM of Fractions is 7090.Finally, LCM of Fractions for 10/126, 3545/6053 is 7090.