Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7046/301, 8839/553 quickly i.e. 62279594/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7046/301, 8839/553 is 62279594/7.
LCM(7046/301, 8839/553) = 62279594/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7046/301,8839/553
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 7046,8839
Least Common Multiple of Numerators i.e. LCM of 7046,8839 is 62279594.
GCF of Denominators means GCF of 301,553 as per the given fractions.
GCF of 301,553 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7046,8839
Given numbers has no common factors except 1. So, there LCM is their product i.e 62279594
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 7046,8839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7046,8839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7046,8839) x common factors =1 x 1 = 1
LCM(7046,8839) = ( 7046 × 8839 ) / 1
LCM(7046,8839) = 62279594 / 1
LCM(7046,8839) = 62279594
Lets's calculate GCF of 301,553
7 | 301, 553 |
43, 79 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62279594/7
Therefore the LCM of Fractions 7046/301,8839/553 is 62279594/7
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 301,553 . The biggest common factor number is the GCF number.
So the greatest common factor 301,553 is 7.
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 7046/301, 8839/553?
Answer: LCM of Numerators as per given numbers 7046/301, 8839/553 is
LCM of Numerators i.e. for 7046,8839 is 62279594
GCF of denominators i.e. for 301,553 is 7.
Thus, LCM of Fractions is 62279594/7.Finally, LCM of Fractions for 7046/301, 8839/553 is 62279594/7.