Least Common Multiple of 6054/34, 6764/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6054/34, 6764/669 quickly i.e. 20474628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6054/34, 6764/669 is 20474628.

LCM(6054/34, 6764/669) = 20474628

LCM of 6054/34, 6764/669

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 6054/34,6764/669

Given numbers are 6054/34,6764/669

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 6054,6764

Least Common Multiple of Numerators i.e. LCM of 6054,6764 is 20474628.

GCF of Denominators means GCF of 34,669 as per the given fractions.

GCF of 34,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6054,6764

LCM of Fractions 6054/34,6764/669 is 20474628

2 6054, 6764
3027, 3382

∴ So the LCM of the given numbers is 2 x 3027 x 3382 = 20474628

Least Common Multiple of 6054,6764 with GCF Formula

Least Common Multiple of 6054,6764 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 6054,6764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6054,6764) = 2

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

GCF(6054,6764) x common factors =2 x 1 = 2

LCM(6054,6764) = ( 6054 × 6764 ) / 2

LCM(6054,6764) = 40949256 / 2

LCM(6054,6764) = 20474628


Lets's calculate GCF of 34,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20474628/1

Therefore the LCM of Fractions 6054/34,6764/669 is 20474628

Greatest Common Factor of 34,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,669 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 34,669 . The biggest common factor number is the GCF number.
So the greatest common factor 34,669 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 6054/34, 6764/669

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 6054/34, 6764/669?

Answer: LCM of Numerators as per given numbers 6054/34, 6764/669 is

LCM of Numerators i.e. for 6054,6764 is 20474628

GCF of denominators i.e. for 34,669 is 1.

Thus, LCM of Fractions is 20474628.Finally, LCM of Fractions for 6054/34, 6764/669 is 20474628.