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LCM of 435, 533, 136, 406

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


Find the LCM of 435, 533, 136, 406 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 435, 533, 136, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 435,533,136,406

Given numbers are 435,533,136,406

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

The LCM of 435,533,136,406 is 220725960.

Find LCM of 435,533,136,406 with Prime Factorization


2 435, 533, 136, 406
29 435, 533, 68, 203
15, 533, 68, 7

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

2 x 29 x 15 x 533 x 68 x 7 = 220725960

Therefore, the lowest common multiple of 435,533,136,406 is 220725960.

LCM Formula to Find Lowest Common Multiple of 435,533,136,406

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.

435 x 533 x 136 x 406 = 12802105680

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.

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

533 : 1, 13, 41, 533

136 : 1, 2, 4, 8, 17, 34, 68, 136

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,533,136,406, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

533:13x 41

136:2x 2x 2x 17

406:2x 7x 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 29 = 58

Therefore, the value for common factors is 58.

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 = 12802105680/(1x58)

LCM = 12802105680/58

LCM = 220725960

Thus, we can understand that the LCM of 435,533,136,406 is 220725960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 435, 533, 136, 406

1. What is the LCM of 435, 533, 136, 406?

Answer: LCM of 435, 533, 136, 406 is 220725960.

2. How to calculate the LCM of 435, 533, 136, 406?

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 435, 533, 136, 406.

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}.