Least Common Multiple of 5876/445, 5650/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5876/445, 5650/831 quickly i.e. 146900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5876/445, 5650/831 is 146900.

LCM(5876/445, 5650/831) = 146900

LCM of 5876/445, 5650/831

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 5876/445,5650/831

Given numbers are 5876/445,5650/831

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 5876,5650

Least Common Multiple of Numerators i.e. LCM of 5876,5650 is 146900.

GCF of Denominators means GCF of 445,831 as per the given fractions.

GCF of 445,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5876,5650

LCM of Fractions 5876/445,5650/831 is 146900

2 5876, 5650
113 2938, 2825
26, 25

∴ So the LCM of the given numbers is 2 x 113 x 26 x 25 = 146900

Least Common Multiple of 5876,5650 with GCF Formula

Least Common Multiple of 5876,5650 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 5876,5650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5876,5650) = 226

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

GCF(5876,5650) x common factors =226 x 1 = 226

LCM(5876,5650) = ( 5876 × 5650 ) / 226

LCM(5876,5650) = 33199400 / 226

LCM(5876,5650) = 146900


Lets's calculate GCF of 445,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146900/1

Therefore the LCM of Fractions 5876/445,5650/831 is 146900

Greatest Common Factor of 445,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,831 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 445,831 . The biggest common factor number is the GCF number.
So the greatest common factor 445,831 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5876/445, 5650/831

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 5876/445, 5650/831?

Answer: LCM of Numerators as per given numbers 5876/445, 5650/831 is

LCM of Numerators i.e. for 5876,5650 is 146900

GCF of denominators i.e. for 445,831 is 1.

Thus, LCM of Fractions is 146900.Finally, LCM of Fractions for 5876/445, 5650/831 is 146900.