Least Common Multiple of 8450/431, 3052/7125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8450/431, 3052/7125 quickly i.e. 12894700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8450/431, 3052/7125 is 12894700.

LCM(8450/431, 3052/7125) = 12894700

LCM of 8450/431, 3052/7125

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8450/431,3052/7125

Given numbers are 8450/431,3052/7125

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 8450,3052

Least Common Multiple of Numerators i.e. LCM of 8450,3052 is 12894700.

GCF of Denominators means GCF of 431,7125 as per the given fractions.

GCF of 431,7125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8450,3052

LCM of Fractions 8450/431,3052/7125 is 12894700

2 8450, 3052
4225, 1526

∴ So the LCM of the given numbers is 2 x 4225 x 1526 = 12894700

Least Common Multiple of 8450,3052 with GCF Formula

Least Common Multiple of 8450,3052 with GCF Formula

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 8450,3052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8450,3052) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8450,3052) x common factors =2 x 1 = 2

LCM(8450,3052) = ( 8450 × 3052 ) / 2

LCM(8450,3052) = 25789400 / 2

LCM(8450,3052) = 12894700


Lets's calculate GCF of 431,7125

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12894700/1

Therefore the LCM of Fractions 8450/431,3052/7125 is 12894700

Greatest Common Factor of 431,7125 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,7125 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Greatest Common Factor

We found the factors 431,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 431,7125 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8450/431, 3052/7125

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 8450/431, 3052/7125?

Answer: LCM of Numerators as per given numbers 8450/431, 3052/7125 is

LCM of Numerators i.e. for 8450,3052 is 12894700

GCF of denominators i.e. for 431,7125 is 1.

Thus, LCM of Fractions is 12894700.Finally, LCM of Fractions for 8450/431, 3052/7125 is 12894700.