Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/641, 738/55, 234/584 quickly i.e. 47970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/641, 738/55, 234/584 is 47970.
LCM(45/641, 738/55, 234/584) = 47970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/641,738/55,234/584
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 45,738,234
Least Common Multiple of Numerators i.e. LCM of 45,738,234 is 47970.
GCF of Denominators means GCF of 641,55,584 as per the given fractions.
GCF of 641,55,584 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,738,234
2 | 45, 738, 234 |
3 | 45, 369, 117 |
3 | 15, 123, 39 |
5, 41, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 41 x 13 = 47970
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 45,738,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,738,234) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(45,738,234) x common factors =9 x 18 = 162
LCM(45,738,234) = ( 45 × 738 × 234 ) / 162
LCM(45,738,234) = 7771140 / 162
LCM(45,738,234) = 47970
Lets's calculate GCF of 641,55,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47970/1
Therefore the LCM of Fractions 45/641,738/55,234/584 is 47970
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 641,55,584 . The biggest common factor number is the GCF number.
So the greatest common factor 641,55,584 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 45/641, 738/55, 234/584?
Answer: LCM of Numerators as per given numbers 45/641, 738/55, 234/584 is
LCM of Numerators i.e. for 45,738,234 is 47970
GCF of denominators i.e. for 641,55,584 is 1.
Thus, LCM of Fractions is 47970.Finally, LCM of Fractions for 45/641, 738/55, 234/584 is 47970.