Least Common Multiple of 495/67, 486/9163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 495/67, 486/9163 quickly i.e. 26730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/67, 486/9163 is 26730.

LCM(495/67, 486/9163) = 26730

LCM of 495/67, 486/9163

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 495/67,486/9163

Given numbers are 495/67,486/9163

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 495,486

Least Common Multiple of Numerators i.e. LCM of 495,486 is 26730.

GCF of Denominators means GCF of 67,9163 as per the given fractions.

GCF of 67,9163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,486

LCM of Fractions 495/67,486/9163 is 26730

3 495, 486
3 165, 162
55, 54

∴ So the LCM of the given numbers is 3 x 3 x 55 x 54 = 26730

Least Common Multiple of 495,486 with GCF Formula

Least Common Multiple of 495,486 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 495,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,486) = 9

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

GCF(495,486) x common factors =9 x 1 = 9

LCM(495,486) = ( 495 × 486 ) / 9

LCM(495,486) = 240570 / 9

LCM(495,486) = 26730


Lets's calculate GCF of 67,9163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26730/1

Therefore the LCM of Fractions 495/67,486/9163 is 26730

Greatest Common Factor of 67,9163 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,9163 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 9163

List of positive integer factors of 9163 that divides 9163 without a remainder.

1,7,11,17,49,77,119,187,539,833,1309,9163

Greatest Common Factor

We found the factors 67,9163 . The biggest common factor number is the GCF number.
So the greatest common factor 67,9163 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 495/67, 486/9163

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 495/67, 486/9163?

Answer: LCM of Numerators as per given numbers 495/67, 486/9163 is

LCM of Numerators i.e. for 495,486 is 26730

GCF of denominators i.e. for 67,9163 is 1.

Thus, LCM of Fractions is 26730.Finally, LCM of Fractions for 495/67, 486/9163 is 26730.