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LCM of 955, 386, 567, 145, 405

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


Find the LCM of 955, 386, 567, 145, 405 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, 386, 567, 145, 405. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,386,567,145,405

Given numbers are 955,386,567,145,405

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

The LCM of 955,386,567,145,405 is 6061383090.

Find LCM of 955,386,567,145,405 with Prime Factorization


3 955, 386, 567, 145, 405
3 955, 386, 189, 145, 135
3 955, 386, 63, 145, 45
3 955, 386, 21, 145, 15
5 955, 386, 7, 145, 5
191, 386, 7, 29, 1

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

3 x 3 x 3 x 3 x 5 x 191 x 386 x 7 x 29 x 1 = 6061383090

Therefore, the lowest common multiple of 955,386,567,145,405 is 6061383090.

LCM Formula to Find Lowest Common Multiple of 955,386,567,145,405

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 386 x 567 x 145 x 405 = 12274300757250

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

386 : 1, 2, 193, 386

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

145 : 1, 5, 29, 145

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,386,567,145,405, is 1.

Now, the common factors can be found like this.

955:5x 191

386:2x 193

567:3x 3x 3x 3x 7

145:5x 29

405:3x 3x 3x 3x 5

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

3x 3x 3x 3x 5x 5 = 2025

Therefore, the value for common factors is 2025.

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 = 12274300757250/(1x2025)

LCM = 12274300757250/2025

LCM = 6061383090

Thus, we can understand that the LCM of 955,386,567,145,405 is 6061383090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 386, 567, 145, 405

1. What is the LCM of 955, 386, 567, 145, 405?

Answer: LCM of 955, 386, 567, 145, 405 is 6061383090.

2. How to calculate the LCM of 955, 386, 567, 145, 405?

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, 386, 567, 145, 405.

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}.