Least Common Multiple of 677/61, 125/6129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/61, 125/6129 quickly i.e. 84625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/61, 125/6129 is 84625.

LCM(677/61, 125/6129) = 84625

LCM of 677/61, 125/6129

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 677/61,125/6129

Given numbers are 677/61,125/6129

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 677,125

Least Common Multiple of Numerators i.e. LCM of 677,125 is 84625.

GCF of Denominators means GCF of 61,6129 as per the given fractions.

GCF of 61,6129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,125

LCM of Fractions 677/61,125/6129 is 84625

Given numbers has no common factors except 1. So, there LCM is their product i.e 84625

Least Common Multiple of 677,125 with GCF Formula

Least Common Multiple of 677,125 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 677,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,125) = 1

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

GCF(677,125) x common factors =1 x 1 = 1

LCM(677,125) = ( 677 × 125 ) / 1

LCM(677,125) = 84625 / 1

LCM(677,125) = 84625


Lets's calculate GCF of 61,6129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84625/1

Therefore the LCM of Fractions 677/61,125/6129 is 84625

Greatest Common Factor of 61,6129 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,6129 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 6129

List of positive integer factors of 6129 that divides 6129 without a remainder.

1,3,9,27,227,681,2043,6129

Greatest Common Factor

We found the factors 61,6129 . The biggest common factor number is the GCF number.
So the greatest common factor 61,6129 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 677/61, 125/6129

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 677/61, 125/6129?

Answer: LCM of Numerators as per given numbers 677/61, 125/6129 is

LCM of Numerators i.e. for 677,125 is 84625

GCF of denominators i.e. for 61,6129 is 1.

Thus, LCM of Fractions is 84625.Finally, LCM of Fractions for 677/61, 125/6129 is 84625.