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LCM of 475, 768, 745, 382, 190

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


Find the LCM of 475, 768, 745, 382, 190 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 475, 768, 745, 382, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,768,745,382,190

Given numbers are 475,768,745,382,190

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

The LCM of 475,768,745,382,190 is 10381843200.

Find LCM of 475,768,745,382,190 with Prime Factorization


2 475, 768, 745, 382, 190
5 475, 384, 745, 191, 95
19 19, 384, 149, 191, 95
1, 384, 149, 191, 5

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

2 x 5 x 19 x 1 x 384 x 149 x 191 x 5 = 10381843200

Therefore, the lowest common multiple of 475,768,745,382,190 is 10381843200.

LCM Formula to Find Lowest Common Multiple of 475,768,745,382,190

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.

475 x 768 x 745 x 382 x 190 = 19725502080000

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.

475 : 1, 5, 19, 25, 95, 475

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

745 : 1, 5, 149, 745

382 : 1, 2, 191, 382

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,768,745,382,190, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

768:2x 2x 2x 2x 2x 2x 2x 2x 3

745:5x 149

382:2x 191

190:2x 5x 19

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

2x 2x 5x 5x 19 = 1900

Therefore, the value for common factors is 1900.

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 = 19725502080000/(1x1900)

LCM = 19725502080000/1900

LCM = 10381843200

Thus, we can understand that the LCM of 475,768,745,382,190 is 10381843200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 768, 745, 382, 190

1. What is the LCM of 475, 768, 745, 382, 190?

Answer: LCM of 475, 768, 745, 382, 190 is 10381843200.

2. How to calculate the LCM of 475, 768, 745, 382, 190?

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 475, 768, 745, 382, 190.

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}.