Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 750/431, 7155/504 quickly i.e. 357750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 750/431, 7155/504 is 357750.
LCM(750/431, 7155/504) = 357750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 750/431,7155/504
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 750,7155
Least Common Multiple of Numerators i.e. LCM of 750,7155 is 357750.
GCF of Denominators means GCF of 431,504 as per the given fractions.
GCF of 431,504 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 750,7155
3 | 750, 7155 |
5 | 250, 2385 |
50, 477 |
∴ So the LCM of the given numbers is 3 x 5 x 50 x 477 = 357750
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 750,7155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,7155) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(750,7155) x common factors =15 x 1 = 15
LCM(750,7155) = ( 750 × 7155 ) / 15
LCM(750,7155) = 5366250 / 15
LCM(750,7155) = 357750
Lets's calculate GCF of 431,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 357750/1
Therefore the LCM of Fractions 750/431,7155/504 is 357750
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 431,504 . The biggest common factor number is the GCF number.
So the greatest common factor 431,504 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 750/431, 7155/504?
Answer: LCM of Numerators as per given numbers 750/431, 7155/504 is
LCM of Numerators i.e. for 750,7155 is 357750
GCF of denominators i.e. for 431,504 is 1.
Thus, LCM of Fractions is 357750.Finally, LCM of Fractions for 750/431, 7155/504 is 357750.