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LCM of 407, 210, 434, 533, 164

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


Find the LCM of 407, 210, 434, 533, 164 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 407, 210, 434, 533, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,210,434,533,164

Given numbers are 407,210,434,533,164

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

The LCM of 407,210,434,533,164 is 2824441620.

Find LCM of 407,210,434,533,164 with Prime Factorization


2 407, 210, 434, 533, 164
7 407, 105, 217, 533, 82
41 407, 15, 31, 533, 82
407, 15, 31, 13, 2

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

2 x 7 x 41 x 407 x 15 x 31 x 13 x 2 = 2824441620

Therefore, the lowest common multiple of 407,210,434,533,164 is 2824441620.

LCM Formula to Find Lowest Common Multiple of 407,210,434,533,164

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.

407 x 210 x 434 x 533 x 164 = 3242458979760

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.

407 : 1, 11, 37, 407

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

434 : 1, 2, 7, 14, 31, 62, 217, 434

533 : 1, 13, 41, 533

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,210,434,533,164, is 1.

Now, the common factors can be found like this.

407:11x 37

210:2x 3x 5x 7

434:2x 7x 31

533:13x 41

164:2x 2x 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 7x 41 = 1148

Therefore, the value for common factors is 1148.

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 = 3242458979760/(1x1148)

LCM = 3242458979760/1148

LCM = 2824441620

Thus, we can understand that the LCM of 407,210,434,533,164 is 2824441620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 210, 434, 533, 164

1. What is the LCM of 407, 210, 434, 533, 164?

Answer: LCM of 407, 210, 434, 533, 164 is 2824441620.

2. How to calculate the LCM of 407, 210, 434, 533, 164?

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 407, 210, 434, 533, 164.

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}.