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LCM of 955, 284, 506, 355

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


Find the LCM of 955, 284, 506, 355 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 955, 284, 506, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,284,506,355

Given numbers are 955,284,506,355

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

The LCM of 955,284,506,355 is 68618660.

Find LCM of 955,284,506,355 with Prime Factorization


2 955, 284, 506, 355
5 955, 142, 253, 355
71 191, 142, 253, 71
191, 2, 253, 1

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

2 x 5 x 71 x 191 x 2 x 253 x 1 = 68618660

Therefore, the lowest common multiple of 955,284,506,355 is 68618660.

LCM Formula to Find Lowest Common Multiple of 955,284,506,355

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.

955 x 284 x 506 x 355 = 48719248600

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.

955 : 1, 5, 191, 955

284 : 1, 2, 4, 71, 142, 284

506 : 1, 2, 11, 22, 23, 46, 253, 506

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,284,506,355, is 1.

Now, the common factors can be found like this.

955:5x 191

284:2x 2x 71

506:2x 11x 23

355:5x 71

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

2x 5x 71 = 710

Therefore, the value for common factors is 710.

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 = 48719248600/(1x710)

LCM = 48719248600/710

LCM = 68618660

Thus, we can understand that the LCM of 955,284,506,355 is 68618660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 284, 506, 355

1. What is the LCM of 955, 284, 506, 355?

Answer: LCM of 955, 284, 506, 355 is 68618660.

2. How to calculate the LCM of 955, 284, 506, 355?

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 955, 284, 506, 355.

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}.