Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/546, 1683/2124 quickly i.e. 36465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/546, 1683/2124 is 36465.
LCM(130/546, 1683/2124) = 36465
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/546,1683/2124
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 130,1683
Least Common Multiple of Numerators i.e. LCM of 130,1683 is 218790.
GCF of Denominators means GCF of 546,2124 as per the given fractions.
GCF of 546,2124 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,1683
Given numbers has no common factors except 1. So, there LCM is their product i.e 218790
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 130,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,1683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,1683) x common factors =1 x 1 = 1
LCM(130,1683) = ( 130 × 1683 ) / 1
LCM(130,1683) = 218790 / 1
LCM(130,1683) = 218790
Lets's calculate GCF of 546,2124
2 | 546, 2124 |
3 | 273, 1062 |
91, 354 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218790/6
Therefore the LCM of Fractions 130/546,1683/2124 is 36465
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 2124
List of positive integer factors of 2124 that divides 2124 without a remainder.
1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Greatest Common Factor
We found the factors 546,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 546,2124 is 6.
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 130/546, 1683/2124?
Answer: LCM of Numerators as per given numbers 130/546, 1683/2124 is
LCM of Numerators i.e. for 130,1683 is 218790
GCF of denominators i.e. for 546,2124 is 6.
Thus, LCM of Fractions is 36465.Finally, LCM of Fractions for 130/546, 1683/2124 is 36465.