Least Common Multiple of 495/282, 506/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/282, 506/998 quickly i.e. 11385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/282, 506/998 is 11385.

LCM(495/282, 506/998) = 11385

LCM of 495/282, 506/998

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 495/282,506/998

Given numbers are 495/282,506/998

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 495,506

Least Common Multiple of Numerators i.e. LCM of 495,506 is 22770.

GCF of Denominators means GCF of 282,998 as per the given fractions.

GCF of 282,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,506

LCM of Fractions 495/282,506/998 is 11385

11 495, 506
45, 46

∴ So the LCM of the given numbers is 11 x 45 x 46 = 22770

Least Common Multiple of 495,506 with GCF Formula

Least Common Multiple of 495,506 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 495,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,506) = 11

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

GCF(495,506) x common factors =11 x 1 = 11

LCM(495,506) = ( 495 × 506 ) / 11

LCM(495,506) = 250470 / 11

LCM(495,506) = 22770


Lets's calculate GCF of 282,998

2 282, 998
141, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22770/2

Therefore the LCM of Fractions 495/282,506/998 is 11385

Greatest Common Factor of 282,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,998 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 282,998 . The biggest common factor number is the GCF number.
So the greatest common factor 282,998 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 495/282, 506/998

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 495/282, 506/998?

Answer: LCM of Numerators as per given numbers 495/282, 506/998 is

LCM of Numerators i.e. for 495,506 is 22770

GCF of denominators i.e. for 282,998 is 2.

Thus, LCM of Fractions is 11385.Finally, LCM of Fractions for 495/282, 506/998 is 11385.