Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 153/754, 5510/754 quickly i.e. 843030/754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 153/754, 5510/754 is 843030/754.
LCM(153/754, 5510/754) = 843030/754
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 153/754,5510/754
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 153,5510
Least Common Multiple of Numerators i.e. LCM of 153,5510 is 843030.
GCF of Denominators means GCF of 754,754 as per the given fractions.
GCF of 754,754 is 754 as it is the largest common factor for these numbers.
Lets's calculate LCM of 153,5510
Given numbers has no common factors except 1. So, there LCM is their product i.e 843030
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 153,5510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,5510) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,5510) x common factors =1 x 1 = 1
LCM(153,5510) = ( 153 × 5510 ) / 1
LCM(153,5510) = 843030 / 1
LCM(153,5510) = 843030
Lets's calculate GCF of 754,754
2 | 754, 754 |
13 | 377, 377 |
29 | 29, 29 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 13 x 29 = 754
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 843030/754
Therefore the LCM of Fractions 153/754,5510/754 is 843030/754
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 754,754 . The biggest common factor number is the GCF number.
So the greatest common factor 754,754 is 754.
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 153/754, 5510/754?
Answer: LCM of Numerators as per given numbers 153/754, 5510/754 is
LCM of Numerators i.e. for 153,5510 is 843030
GCF of denominators i.e. for 754,754 is 754.
Thus, LCM of Fractions is 843030/754.Finally, LCM of Fractions for 153/754, 5510/754 is 843030/754.