Least Common Multiple of 61/829, 8543/9649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/829, 8543/9649 quickly i.e. 521123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/829, 8543/9649 is 521123.

LCM(61/829, 8543/9649) = 521123

LCM of 61/829, 8543/9649

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 61/829,8543/9649

Given numbers are 61/829,8543/9649

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 61,8543

Least Common Multiple of Numerators i.e. LCM of 61,8543 is 521123.

GCF of Denominators means GCF of 829,9649 as per the given fractions.

GCF of 829,9649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,8543

LCM of Fractions 61/829,8543/9649 is 521123

Given numbers has no common factors except 1. So, there LCM is their product i.e 521123

Least Common Multiple of 61,8543 with GCF Formula

Least Common Multiple of 61,8543 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 61,8543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,8543) = 1

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

GCF(61,8543) x common factors =1 x 1 = 1

LCM(61,8543) = ( 61 × 8543 ) / 1

LCM(61,8543) = 521123 / 1

LCM(61,8543) = 521123


Lets's calculate GCF of 829,9649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521123/1

Therefore the LCM of Fractions 61/829,8543/9649 is 521123

Greatest Common Factor of 829,9649 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,9649 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1,9649

Greatest Common Factor

We found the factors 829,9649 . The biggest common factor number is the GCF number.
So the greatest common factor 829,9649 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 61/829, 8543/9649

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 61/829, 8543/9649?

Answer: LCM of Numerators as per given numbers 61/829, 8543/9649 is

LCM of Numerators i.e. for 61,8543 is 521123

GCF of denominators i.e. for 829,9649 is 1.

Thus, LCM of Fractions is 521123.Finally, LCM of Fractions for 61/829, 8543/9649 is 521123.