Least Common Multiple of 555/692, 3798/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 555/692, 3798/574 quickly i.e. 351315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 555/692, 3798/574 is 351315.

LCM(555/692, 3798/574) = 351315

LCM of 555/692, 3798/574

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 555/692,3798/574

Given numbers are 555/692,3798/574

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 555,3798

Least Common Multiple of Numerators i.e. LCM of 555,3798 is 702630.

GCF of Denominators means GCF of 692,574 as per the given fractions.

GCF of 692,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 555,3798

LCM of Fractions 555/692,3798/574 is 351315

3 555, 3798
185, 1266

∴ So the LCM of the given numbers is 3 x 185 x 1266 = 702630

Least Common Multiple of 555,3798 with GCF Formula

Least Common Multiple of 555,3798 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 555,3798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,3798) = 3

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

GCF(555,3798) x common factors =3 x 1 = 3

LCM(555,3798) = ( 555 × 3798 ) / 3

LCM(555,3798) = 2107890 / 3

LCM(555,3798) = 702630


Lets's calculate GCF of 692,574

2 692, 574
346, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 702630/2

Therefore the LCM of Fractions 555/692,3798/574 is 351315

Greatest Common Factor of 692,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,574 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 692,574 . The biggest common factor number is the GCF number.
So the greatest common factor 692,574 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 555/692, 3798/574

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 555/692, 3798/574?

Answer: LCM of Numerators as per given numbers 555/692, 3798/574 is

LCM of Numerators i.e. for 555,3798 is 702630

GCF of denominators i.e. for 692,574 is 2.

Thus, LCM of Fractions is 351315.Finally, LCM of Fractions for 555/692, 3798/574 is 351315.