Least Common Multiple of 494/648, 4651/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 494/648, 4651/801 quickly i.e. 2297594/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/648, 4651/801 is 2297594/9.

LCM(494/648, 4651/801) = 2297594/9

LCM of 494/648, 4651/801

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 494/648,4651/801

Given numbers are 494/648,4651/801

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 494,4651

Least Common Multiple of Numerators i.e. LCM of 494,4651 is 2297594.

GCF of Denominators means GCF of 648,801 as per the given fractions.

GCF of 648,801 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,4651

LCM of Fractions 494/648,4651/801 is 2297594/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 2297594

Least Common Multiple of 494,4651 with GCF Formula

Least Common Multiple of 494,4651 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 494,4651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,4651) = 1

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

GCF(494,4651) x common factors =1 x 1 = 1

LCM(494,4651) = ( 494 × 4651 ) / 1

LCM(494,4651) = 2297594 / 1

LCM(494,4651) = 2297594


Lets's calculate GCF of 648,801

3 648, 801
3 216, 267
72, 89

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2297594/9

Therefore the LCM of Fractions 494/648,4651/801 is 2297594/9

Greatest Common Factor of 648,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,801 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 648,801 . The biggest common factor number is the GCF number.
So the greatest common factor 648,801 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 494/648, 4651/801

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 494/648, 4651/801?

Answer: LCM of Numerators as per given numbers 494/648, 4651/801 is

LCM of Numerators i.e. for 494,4651 is 2297594

GCF of denominators i.e. for 648,801 is 9.

Thus, LCM of Fractions is 2297594/9.Finally, LCM of Fractions for 494/648, 4651/801 is 2297594/9.