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LCM of 828, 575, 185, 368, 435

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


Find the LCM of 828, 575, 185, 368, 435 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 828, 575, 185, 368, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,575,185,368,435

Given numbers are 828,575,185,368,435

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

The LCM of 828,575,185,368,435 is 88844400.

Find LCM of 828,575,185,368,435 with Prime Factorization


2 828, 575, 185, 368, 435
2 414, 575, 185, 184, 435
3 207, 575, 185, 92, 435
5 69, 575, 185, 92, 145
23 69, 115, 37, 92, 29
3, 5, 37, 4, 29

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

2 x 2 x 3 x 5 x 23 x 3 x 5 x 37 x 4 x 29 = 88844400

Therefore, the lowest common multiple of 828,575,185,368,435 is 88844400.

LCM Formula to Find Lowest Common Multiple of 828,575,185,368,435

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.

828 x 575 x 185 x 368 x 435 = 14099606280000

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

575 : 1, 5, 23, 25, 115, 575

185 : 1, 5, 37, 185

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,575,185,368,435, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

575:5x 5x 23

185:5x 37

368:2x 2x 2x 2x 23

435:3x 5x 29

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 3x 5x 5x 23x 23 = 158700

Therefore, the value for common factors is 158700.

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 = 14099606280000/(1x158700)

LCM = 14099606280000/158700

LCM = 88844400

Thus, we can understand that the LCM of 828,575,185,368,435 is 88844400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 575, 185, 368, 435

1. What is the LCM of 828, 575, 185, 368, 435?

Answer: LCM of 828, 575, 185, 368, 435 is 88844400.

2. How to calculate the LCM of 828, 575, 185, 368, 435?

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 828, 575, 185, 368, 435.

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}.