Least Common Multiple of 495/95, 817/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 495/95, 817/448 quickly i.e. 404415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/95, 817/448 is 404415.

LCM(495/95, 817/448) = 404415

LCM of 495/95, 817/448

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 495/95,817/448

Given numbers are 495/95,817/448

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 495,817

Least Common Multiple of Numerators i.e. LCM of 495,817 is 404415.

GCF of Denominators means GCF of 95,448 as per the given fractions.

GCF of 95,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,817

LCM of Fractions 495/95,817/448 is 404415

Given numbers has no common factors except 1. So, there LCM is their product i.e 404415

Least Common Multiple of 495,817 with GCF Formula

Least Common Multiple of 495,817 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 495,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,817) = 1

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

GCF(495,817) x common factors =1 x 1 = 1

LCM(495,817) = ( 495 × 817 ) / 1

LCM(495,817) = 404415 / 1

LCM(495,817) = 404415


Lets's calculate GCF of 95,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404415/1

Therefore the LCM of Fractions 495/95,817/448 is 404415

Greatest Common Factor of 95,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,448 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 95,448 . The biggest common factor number is the GCF number.
So the greatest common factor 95,448 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 495/95, 817/448

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 495/95, 817/448?

Answer: LCM of Numerators as per given numbers 495/95, 817/448 is

LCM of Numerators i.e. for 495,817 is 404415

GCF of denominators i.e. for 95,448 is 1.

Thus, LCM of Fractions is 404415.Finally, LCM of Fractions for 495/95, 817/448 is 404415.