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LCM of 151, 432, 716, 533, 410

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


Find the LCM of 151, 432, 716, 533, 410 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 151, 432, 716, 533, 410. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 151,432,716,533,410

Given numbers are 151,432,716,533,410

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

The LCM of 151,432,716,533,410 is 31117947120.

Find LCM of 151,432,716,533,410 with Prime Factorization


2 151, 432, 716, 533, 410
2 151, 216, 358, 533, 205
41 151, 108, 179, 533, 205
151, 108, 179, 13, 5

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

2 x 2 x 41 x 151 x 108 x 179 x 13 x 5 = 31117947120

Therefore, the lowest common multiple of 151,432,716,533,410 is 31117947120.

LCM Formula to Find Lowest Common Multiple of 151,432,716,533,410

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.

151 x 432 x 716 x 533 x 410 = 10206686655360

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.

151 : 1, 151

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

716 : 1, 2, 4, 179, 358, 716

533 : 1, 13, 41, 533

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,432,716,533,410, is 1.

Now, the common factors can be found like this.

151:151

432:2x 2x 2x 2x 3x 3x 3

716:2x 2x 179

533:13x 41

410:2x 5x 41

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 2x 41 = 328

Therefore, the value for common factors is 328.

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 = 10206686655360/(1x328)

LCM = 10206686655360/328

LCM = 31117947120

Thus, we can understand that the LCM of 151,432,716,533,410 is 31117947120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 151, 432, 716, 533, 410

1. What is the LCM of 151, 432, 716, 533, 410?

Answer: LCM of 151, 432, 716, 533, 410 is 31117947120.

2. How to calculate the LCM of 151, 432, 716, 533, 410?

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 151, 432, 716, 533, 410.

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}.