Least Common Multiple of 659/58, 355/6754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/58, 355/6754 quickly i.e. 233945/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/58, 355/6754 is 233945/2.

LCM(659/58, 355/6754) = 233945/2

LCM of 659/58, 355/6754

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 659/58,355/6754

Given numbers are 659/58,355/6754

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 659,355

Least Common Multiple of Numerators i.e. LCM of 659,355 is 233945.

GCF of Denominators means GCF of 58,6754 as per the given fractions.

GCF of 58,6754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,355

LCM of Fractions 659/58,355/6754 is 233945/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 233945

Least Common Multiple of 659,355 with GCF Formula

Least Common Multiple of 659,355 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 659,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,355) = 1

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

GCF(659,355) x common factors =1 x 1 = 1

LCM(659,355) = ( 659 × 355 ) / 1

LCM(659,355) = 233945 / 1

LCM(659,355) = 233945


Lets's calculate GCF of 58,6754

2 58, 6754
29, 3377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233945/2

Therefore the LCM of Fractions 659/58,355/6754 is 233945/2

Greatest Common Factor of 58,6754 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,6754 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1,2,11,22,307,614,3377,6754

Greatest Common Factor

We found the factors 58,6754 . The biggest common factor number is the GCF number.
So the greatest common factor 58,6754 is 2.


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 659/58, 355/6754

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 659/58, 355/6754?

Answer: LCM of Numerators as per given numbers 659/58, 355/6754 is

LCM of Numerators i.e. for 659,355 is 233945

GCF of denominators i.e. for 58,6754 is 2.

Thus, LCM of Fractions is 233945/2.Finally, LCM of Fractions for 659/58, 355/6754 is 233945/2.