Least Common Multiple of 1041/625, 5661/7831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1041/625, 5661/7831 quickly i.e. 1964367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1041/625, 5661/7831 is 1964367.

LCM(1041/625, 5661/7831) = 1964367

LCM of 1041/625, 5661/7831

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 1041/625,5661/7831

Given numbers are 1041/625,5661/7831

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 1041,5661

Least Common Multiple of Numerators i.e. LCM of 1041,5661 is 1964367.

GCF of Denominators means GCF of 625,7831 as per the given fractions.

GCF of 625,7831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1041,5661

LCM of Fractions 1041/625,5661/7831 is 1964367

3 1041, 5661
347, 1887

∴ So the LCM of the given numbers is 3 x 347 x 1887 = 1964367

Least Common Multiple of 1041,5661 with GCF Formula

Least Common Multiple of 1041,5661 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 1041,5661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1041,5661) = 3

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

GCF(1041,5661) x common factors =3 x 1 = 3

LCM(1041,5661) = ( 1041 × 5661 ) / 3

LCM(1041,5661) = 5893101 / 3

LCM(1041,5661) = 1964367


Lets's calculate GCF of 625,7831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964367/1

Therefore the LCM of Fractions 1041/625,5661/7831 is 1964367

Greatest Common Factor of 625,7831 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,7831 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 7831

List of positive integer factors of 7831 that divides 7831 without a remainder.

1,41,191,7831

Greatest Common Factor

We found the factors 625,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 625,7831 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1041/625, 5661/7831

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 1041/625, 5661/7831?

Answer: LCM of Numerators as per given numbers 1041/625, 5661/7831 is

LCM of Numerators i.e. for 1041,5661 is 1964367

GCF of denominators i.e. for 625,7831 is 1.

Thus, LCM of Fractions is 1964367.Finally, LCM of Fractions for 1041/625, 5661/7831 is 1964367.