Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9049/158, 6921/4487 quickly i.e. 62628129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9049/158, 6921/4487 is 62628129.
LCM(9049/158, 6921/4487) = 62628129
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9049/158,6921/4487
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 9049,6921
Least Common Multiple of Numerators i.e. LCM of 9049,6921 is 62628129.
GCF of Denominators means GCF of 158,4487 as per the given fractions.
GCF of 158,4487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9049,6921
Given numbers has no common factors except 1. So, there LCM is their product i.e 62628129
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 9049,6921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9049,6921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9049,6921) x common factors =1 x 1 = 1
LCM(9049,6921) = ( 9049 × 6921 ) / 1
LCM(9049,6921) = 62628129 / 1
LCM(9049,6921) = 62628129
Lets's calculate GCF of 158,4487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62628129/1
Therefore the LCM of Fractions 9049/158,6921/4487 is 62628129
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 4487
List of positive integer factors of 4487 that divides 4487 without a remainder.
1,7,641,4487
Greatest Common Factor
We found the factors 158,4487 . The biggest common factor number is the GCF number.
So the greatest common factor 158,4487 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 9049/158, 6921/4487?
Answer: LCM of Numerators as per given numbers 9049/158, 6921/4487 is
LCM of Numerators i.e. for 9049,6921 is 62628129
GCF of denominators i.e. for 158,4487 is 1.
Thus, LCM of Fractions is 62628129.Finally, LCM of Fractions for 9049/158, 6921/4487 is 62628129.