Least Common Multiple of 69/199, 55/992, 506/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/199, 55/992, 506/581 quickly i.e. 7590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/199, 55/992, 506/581 is 7590.

LCM(69/199, 55/992, 506/581) = 7590

LCM of 69/199, 55/992, 506/581

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 69/199,55/992,506/581

Given numbers are 69/199,55/992,506/581

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 69,55,506

Least Common Multiple of Numerators i.e. LCM of 69,55,506 is 7590.

GCF of Denominators means GCF of 199,992,581 as per the given fractions.

GCF of 199,992,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,55,506

LCM of Fractions 69/199,55/992,506/581 is 7590

11 69, 55, 506
23 69, 5, 46
3, 5, 2

∴ So the LCM of the given numbers is 11 x 23 x 3 x 5 x 2 = 7590

Least Common Multiple of 69,55,506 with GCF Formula

Least Common Multiple of 69,55,506 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 69,55,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,55,506) = 1

common factors(in case of two or more numbers have common factors) = 253

GCF(69,55,506) x common factors =1 x 253 = 253

LCM(69,55,506) = ( 69 × 55 × 506 ) / 253

LCM(69,55,506) = 1920270 / 253

LCM(69,55,506) = 7590


Lets's calculate GCF of 199,992,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7590/1

Therefore the LCM of Fractions 69/199,55/992,506/581 is 7590

Greatest Common Factor of 199,992,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,992,581 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 199,992,581 . The biggest common factor number is the GCF number.
So the greatest common factor 199,992,581 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 69/199, 55/992, 506/581

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 69/199, 55/992, 506/581?

Answer: LCM of Numerators as per given numbers 69/199, 55/992, 506/581 is

LCM of Numerators i.e. for 69,55,506 is 7590

GCF of denominators i.e. for 199,992,581 is 1.

Thus, LCM of Fractions is 7590.Finally, LCM of Fractions for 69/199, 55/992, 506/581 is 7590.