Least Common Multiple of 661/174, 8129/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 661/174, 8129/650 quickly i.e. 5373269/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/174, 8129/650 is 5373269/2.

LCM(661/174, 8129/650) = 5373269/2

LCM of 661/174, 8129/650

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 661/174,8129/650

Given numbers are 661/174,8129/650

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 661,8129

Least Common Multiple of Numerators i.e. LCM of 661,8129 is 5373269.

GCF of Denominators means GCF of 174,650 as per the given fractions.

GCF of 174,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,8129

LCM of Fractions 661/174,8129/650 is 5373269/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5373269

Least Common Multiple of 661,8129 with GCF Formula

Least Common Multiple of 661,8129 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 661,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,8129) = 1

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

GCF(661,8129) x common factors =1 x 1 = 1

LCM(661,8129) = ( 661 × 8129 ) / 1

LCM(661,8129) = 5373269 / 1

LCM(661,8129) = 5373269


Lets's calculate GCF of 174,650

2 174, 650
87, 325

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5373269/2

Therefore the LCM of Fractions 661/174,8129/650 is 5373269/2

Greatest Common Factor of 174,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,650 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 174,650 . The biggest common factor number is the GCF number.
So the greatest common factor 174,650 is 2.


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 661/174, 8129/650

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 661/174, 8129/650?

Answer: LCM of Numerators as per given numbers 661/174, 8129/650 is

LCM of Numerators i.e. for 661,8129 is 5373269

GCF of denominators i.e. for 174,650 is 2.

Thus, LCM of Fractions is 5373269/2.Finally, LCM of Fractions for 661/174, 8129/650 is 5373269/2.