Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/162, 3617/2624 quickly i.e. 3331257/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/162, 3617/2624 is 3331257/2.
LCM(921/162, 3617/2624) = 3331257/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/162,3617/2624
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 921,3617
Least Common Multiple of Numerators i.e. LCM of 921,3617 is 3331257.
GCF of Denominators means GCF of 162,2624 as per the given fractions.
GCF of 162,2624 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,3617
Given numbers has no common factors except 1. So, there LCM is their product i.e 3331257
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 921,3617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,3617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,3617) x common factors =1 x 1 = 1
LCM(921,3617) = ( 921 × 3617 ) / 1
LCM(921,3617) = 3331257 / 1
LCM(921,3617) = 3331257
Lets's calculate GCF of 162,2624
2 | 162, 2624 |
81, 1312 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3331257/2
Therefore the LCM of Fractions 921/162,3617/2624 is 3331257/2
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 2624
List of positive integer factors of 2624 that divides 2624 without a remainder.
1,2,4,8,16,32,41,64,82,164,328,656,1312,2624
Greatest Common Factor
We found the factors 162,2624 . The biggest common factor number is the GCF number.
So the greatest common factor 162,2624 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 921/162, 3617/2624?
Answer: LCM of Numerators as per given numbers 921/162, 3617/2624 is
LCM of Numerators i.e. for 921,3617 is 3331257
GCF of denominators i.e. for 162,2624 is 2.
Thus, LCM of Fractions is 3331257/2.Finally, LCM of Fractions for 921/162, 3617/2624 is 3331257/2.