Least Common Multiple of 496/680, 8449/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/680, 8449/440 quickly i.e. 4190704/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/680, 8449/440 is 4190704/40.

LCM(496/680, 8449/440) = 4190704/40

LCM of 496/680, 8449/440

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 496/680,8449/440

Given numbers are 496/680,8449/440

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 496,8449

Least Common Multiple of Numerators i.e. LCM of 496,8449 is 4190704.

GCF of Denominators means GCF of 680,440 as per the given fractions.

GCF of 680,440 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,8449

LCM of Fractions 496/680,8449/440 is 4190704/40

Given numbers has no common factors except 1. So, there LCM is their product i.e 4190704

Least Common Multiple of 496,8449 with GCF Formula

Least Common Multiple of 496,8449 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 496,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,8449) = 1

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

GCF(496,8449) x common factors =1 x 1 = 1

LCM(496,8449) = ( 496 × 8449 ) / 1

LCM(496,8449) = 4190704 / 1

LCM(496,8449) = 4190704


Lets's calculate GCF of 680,440

2 680, 440
2 340, 220
2 170, 110
5 85, 55
17, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4190704/40

Therefore the LCM of Fractions 496/680,8449/440 is 4190704/40

Greatest Common Factor of 680,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,440 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 680,440 . The biggest common factor number is the GCF number.
So the greatest common factor 680,440 is 40.


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 496/680, 8449/440

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 496/680, 8449/440?

Answer: LCM of Numerators as per given numbers 496/680, 8449/440 is

LCM of Numerators i.e. for 496,8449 is 4190704

GCF of denominators i.e. for 680,440 is 40.

Thus, LCM of Fractions is 4190704/40.Finally, LCM of Fractions for 496/680, 8449/440 is 4190704/40.