Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3658/214, 5611/2124 quickly i.e. 331049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3658/214, 5611/2124 is 331049.
LCM(3658/214, 5611/2124) = 331049
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3658/214,5611/2124
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 3658,5611
Least Common Multiple of Numerators i.e. LCM of 3658,5611 is 662098.
GCF of Denominators means GCF of 214,2124 as per the given fractions.
GCF of 214,2124 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3658,5611
31 | 3658, 5611 |
118, 181 |
∴ So the LCM of the given numbers is 31 x 118 x 181 = 662098
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 3658,5611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3658,5611) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(3658,5611) x common factors =31 x 1 = 31
LCM(3658,5611) = ( 3658 × 5611 ) / 31
LCM(3658,5611) = 20525038 / 31
LCM(3658,5611) = 662098
Lets's calculate GCF of 214,2124
2 | 214, 2124 |
107, 1062 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 662098/2
Therefore the LCM of Fractions 3658/214,5611/2124 is 331049
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
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 214,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 214,2124 is 2.
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 3658/214, 5611/2124?
Answer: LCM of Numerators as per given numbers 3658/214, 5611/2124 is
LCM of Numerators i.e. for 3658,5611 is 662098
GCF of denominators i.e. for 214,2124 is 2.
Thus, LCM of Fractions is 331049.Finally, LCM of Fractions for 3658/214, 5611/2124 is 331049.