Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/502, 745/557, 430/641 quickly i.e. 704770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/502, 745/557, 430/641 is 704770.
LCM(22/502, 745/557, 430/641) = 704770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/502,745/557,430/641
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 22,745,430
Least Common Multiple of Numerators i.e. LCM of 22,745,430 is 704770.
GCF of Denominators means GCF of 502,557,641 as per the given fractions.
GCF of 502,557,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,745,430
2 | 22, 745, 430 |
5 | 11, 745, 215 |
11, 149, 43 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 149 x 43 = 704770
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 22,745,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,745,430) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(22,745,430) x common factors =1 x 10 = 10
LCM(22,745,430) = ( 22 × 745 × 430 ) / 10
LCM(22,745,430) = 7047700 / 10
LCM(22,745,430) = 704770
Lets's calculate GCF of 502,557,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704770/1
Therefore the LCM of Fractions 22/502,745/557,430/641 is 704770
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 502,557,641 . The biggest common factor number is the GCF number.
So the greatest common factor 502,557,641 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 22/502, 745/557, 430/641?
Answer: LCM of Numerators as per given numbers 22/502, 745/557, 430/641 is
LCM of Numerators i.e. for 22,745,430 is 704770
GCF of denominators i.e. for 502,557,641 is 1.
Thus, LCM of Fractions is 704770.Finally, LCM of Fractions for 22/502, 745/557, 430/641 is 704770.