Least Common Multiple of 61/447, 6289/8791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/447, 6289/8791 quickly i.e. 383629/149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/447, 6289/8791 is 383629/149.

LCM(61/447, 6289/8791) = 383629/149

LCM of 61/447, 6289/8791

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 61/447,6289/8791

Given numbers are 61/447,6289/8791

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 61,6289

Least Common Multiple of Numerators i.e. LCM of 61,6289 is 383629.

GCF of Denominators means GCF of 447,8791 as per the given fractions.

GCF of 447,8791 is 149 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,6289

LCM of Fractions 61/447,6289/8791 is 383629/149

Given numbers has no common factors except 1. So, there LCM is their product i.e 383629

Least Common Multiple of 61,6289 with GCF Formula

Least Common Multiple of 61,6289 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 61,6289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,6289) = 1

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

GCF(61,6289) x common factors =1 x 1 = 1

LCM(61,6289) = ( 61 × 6289 ) / 1

LCM(61,6289) = 383629 / 1

LCM(61,6289) = 383629


Lets's calculate GCF of 447,8791

149 447, 8791
3, 59

∴ So the GCF of the given numbers is 149 = 149

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383629/149

Therefore the LCM of Fractions 61/447,6289/8791 is 383629/149

Greatest Common Factor of 447,8791 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,8791 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 8791

List of positive integer factors of 8791 that divides 8791 without a remainder.

1,59,149,8791

Greatest Common Factor

We found the factors 447,8791 . The biggest common factor number is the GCF number.
So the greatest common factor 447,8791 is 149.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/447, 6289/8791

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 61/447, 6289/8791?

Answer: LCM of Numerators as per given numbers 61/447, 6289/8791 is

LCM of Numerators i.e. for 61,6289 is 383629

GCF of denominators i.e. for 447,8791 is 149.

Thus, LCM of Fractions is 383629/149.Finally, LCM of Fractions for 61/447, 6289/8791 is 383629/149.