Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 690/754, 703/344, 511/321 quickly i.e. 247870770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 690/754, 703/344, 511/321 is 247870770.
LCM(690/754, 703/344, 511/321) = 247870770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 690/754,703/344,511/321
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 690,703,511
Least Common Multiple of Numerators i.e. LCM of 690,703,511 is 247870770.
GCF of Denominators means GCF of 754,344,321 as per the given fractions.
GCF of 754,344,321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 690,703,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 247870770
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 690,703,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,703,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(690,703,511) x common factors =1 x 1 = 1
LCM(690,703,511) = ( 690 × 703 × 511 ) / 1
LCM(690,703,511) = 247870770 / 1
LCM(690,703,511) = 247870770
Lets's calculate GCF of 754,344,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247870770/1
Therefore the LCM of Fractions 690/754,703/344,511/321 is 247870770
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 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 754,344,321 . The biggest common factor number is the GCF number.
So the greatest common factor 754,344,321 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 690/754, 703/344, 511/321?
Answer: LCM of Numerators as per given numbers 690/754, 703/344, 511/321 is
LCM of Numerators i.e. for 690,703,511 is 247870770
GCF of denominators i.e. for 754,344,321 is 1.
Thus, LCM of Fractions is 247870770.Finally, LCM of Fractions for 690/754, 703/344, 511/321 is 247870770.