Least Common Multiple of 682/99, 154/16, 499/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/99, 154/16, 499/176 quickly i.e. 2382226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/99, 154/16, 499/176 is 2382226.

LCM(682/99, 154/16, 499/176) = 2382226

LCM of 682/99, 154/16, 499/176

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 682/99,154/16,499/176

Given numbers are 682/99,154/16,499/176

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 682,154,499

Least Common Multiple of Numerators i.e. LCM of 682,154,499 is 2382226.

GCF of Denominators means GCF of 99,16,176 as per the given fractions.

GCF of 99,16,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,154,499

LCM of Fractions 682/99,154/16,499/176 is 2382226

2 682, 154, 499
11 341, 77, 499
31, 7, 499

∴ So the LCM of the given numbers is 2 x 11 x 31 x 7 x 499 = 2382226

Least Common Multiple of 682,154,499 with GCF Formula

Least Common Multiple of 682,154,499 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 682,154,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,154,499) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(682,154,499) x common factors =1 x 22 = 22

LCM(682,154,499) = ( 682 × 154 × 499 ) / 22

LCM(682,154,499) = 52408972 / 22

LCM(682,154,499) = 2382226


Lets's calculate GCF of 99,16,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2382226/1

Therefore the LCM of Fractions 682/99,154/16,499/176 is 2382226

Greatest Common Factor of 99,16,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,16,176 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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

Greatest Common Factor

We found the factors 99,16,176 . The biggest common factor number is the GCF number.
So the greatest common factor 99,16,176 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 682/99, 154/16, 499/176

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 682/99, 154/16, 499/176?

Answer: LCM of Numerators as per given numbers 682/99, 154/16, 499/176 is

LCM of Numerators i.e. for 682,154,499 is 2382226

GCF of denominators i.e. for 99,16,176 is 1.

Thus, LCM of Fractions is 2382226.Finally, LCM of Fractions for 682/99, 154/16, 499/176 is 2382226.