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LCM of 193, 345, 920, 655

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


Find the LCM of 193, 345, 920, 655 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 193, 345, 920, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 193,345,920,655

Given numbers are 193,345,920,655

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

The LCM of 193,345,920,655 is 69781080.

Find LCM of 193,345,920,655 with Prime Factorization


5 193, 345, 920, 655
23 193, 69, 184, 131
193, 3, 8, 131

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

5 x 23 x 193 x 3 x 8 x 131 = 69781080

Therefore, the lowest common multiple of 193,345,920,655 is 69781080.

LCM Formula to Find Lowest Common Multiple of 193,345,920,655

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.

193 x 345 x 920 x 655 = 40124121000

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.

193 : 1, 193

345 : 1, 3, 5, 15, 23, 69, 115, 345

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,345,920,655, is 1.

Now, the common factors can be found like this.

193:193

345:3x 5x 23

920:2x 2x 2x 5x 23

655:5x 131

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 40124121000/(1x575)

LCM = 40124121000/575

LCM = 69781080

Thus, we can understand that the LCM of 193,345,920,655 is 69781080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 193, 345, 920, 655

1. What is the LCM of 193, 345, 920, 655?

Answer: LCM of 193, 345, 920, 655 is 69781080.

2. How to calculate the LCM of 193, 345, 920, 655?

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 193, 345, 920, 655.

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}.