Least Common Multiple of 493/176, 4672/9907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/176, 4672/9907 quickly i.e. 2303296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/176, 4672/9907 is 2303296.

LCM(493/176, 4672/9907) = 2303296

LCM of 493/176, 4672/9907

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 493/176,4672/9907

Given numbers are 493/176,4672/9907

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 493,4672

Least Common Multiple of Numerators i.e. LCM of 493,4672 is 2303296.

GCF of Denominators means GCF of 176,9907 as per the given fractions.

GCF of 176,9907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,4672

LCM of Fractions 493/176,4672/9907 is 2303296

Given numbers has no common factors except 1. So, there LCM is their product i.e 2303296

Least Common Multiple of 493,4672 with GCF Formula

Least Common Multiple of 493,4672 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 493,4672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,4672) = 1

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

GCF(493,4672) x common factors =1 x 1 = 1

LCM(493,4672) = ( 493 × 4672 ) / 1

LCM(493,4672) = 2303296 / 1

LCM(493,4672) = 2303296


Lets's calculate GCF of 176,9907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2303296/1

Therefore the LCM of Fractions 493/176,4672/9907 is 2303296

Greatest Common Factor of 176,9907 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,9907 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 9907

List of positive integer factors of 9907 that divides 9907 without a remainder.

1,9907

Greatest Common Factor

We found the factors 176,9907 . The biggest common factor number is the GCF number.
So the greatest common factor 176,9907 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 493/176, 4672/9907

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 493/176, 4672/9907?

Answer: LCM of Numerators as per given numbers 493/176, 4672/9907 is

LCM of Numerators i.e. for 493,4672 is 2303296

GCF of denominators i.e. for 176,9907 is 1.

Thus, LCM of Fractions is 2303296.Finally, LCM of Fractions for 493/176, 4672/9907 is 2303296.