Least Common Multiple of 485/558, 2129/6354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/558, 2129/6354 quickly i.e. 1032565/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/558, 2129/6354 is 1032565/18.

LCM(485/558, 2129/6354) = 1032565/18

LCM of 485/558, 2129/6354

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 485/558,2129/6354

Given numbers are 485/558,2129/6354

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 485,2129

Least Common Multiple of Numerators i.e. LCM of 485,2129 is 1032565.

GCF of Denominators means GCF of 558,6354 as per the given fractions.

GCF of 558,6354 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,2129

LCM of Fractions 485/558,2129/6354 is 1032565/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 1032565

Least Common Multiple of 485,2129 with GCF Formula

Least Common Multiple of 485,2129 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 485,2129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,2129) = 1

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

GCF(485,2129) x common factors =1 x 1 = 1

LCM(485,2129) = ( 485 × 2129 ) / 1

LCM(485,2129) = 1032565 / 1

LCM(485,2129) = 1032565


Lets's calculate GCF of 558,6354

2 558, 6354
3 279, 3177
3 93, 1059
31, 353

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1032565/18

Therefore the LCM of Fractions 485/558,2129/6354 is 1032565/18

Greatest Common Factor of 558,6354 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,6354 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1,2,3,6,9,18,353,706,1059,2118,3177,6354

Greatest Common Factor

We found the factors 558,6354 . The biggest common factor number is the GCF number.
So the greatest common factor 558,6354 is 18.


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 485/558, 2129/6354

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 485/558, 2129/6354?

Answer: LCM of Numerators as per given numbers 485/558, 2129/6354 is

LCM of Numerators i.e. for 485,2129 is 1032565

GCF of denominators i.e. for 558,6354 is 18.

Thus, LCM of Fractions is 1032565/18.Finally, LCM of Fractions for 485/558, 2129/6354 is 1032565/18.