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LCM of 675, 833, 191, 391, 193

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 675, 833, 191, 391, 193 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 675, 833, 191, 391, 193. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 675,833,191,391,193

Given numbers are 675,833,191,391,193

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 675,833,191,391,193 is 476724296475.

Find LCM of 675,833,191,391,193 with Prime Factorization


17 675, 833, 191, 391, 193
675, 49, 191, 23, 193

Multiply the prime numbers at the bottom and the left side.

17 x 675 x 49 x 191 x 23 x 193 = 476724296475

Therefore, the lowest common multiple of 675,833,191,391,193 is 476724296475.

LCM Formula to Find Lowest Common Multiple of 675,833,191,391,193

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

675 x 833 x 191 x 391 x 193 = 8104313040075

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

833 : 1, 7, 17, 49, 119, 833

191 : 1, 191

391 : 1, 17, 23, 391

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,833,191,391,193, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

833:7x 7x 17

191:191

391:17x 23

193:193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17 = 17

Therefore, the value for common factors is 17.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8104313040075/(1x17)

LCM = 8104313040075/17

LCM = 476724296475

Thus, we can understand that the LCM of 675,833,191,391,193 is 476724296475.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 675, 833, 191, 391, 193

1. What is the LCM of 675, 833, 191, 391, 193?

Answer: LCM of 675, 833, 191, 391, 193 is 476724296475.

2. How to calculate the LCM of 675, 833, 191, 391, 193?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 675, 833, 191, 391, 193.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.