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LCM of 428, 533, 571, 299

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


Find the LCM of 428, 533, 571, 299 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 428, 533, 571, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,533,571,299

Given numbers are 428,533,571,299

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

The LCM of 428,533,571,299 is 2995952492.

Find LCM of 428,533,571,299 with Prime Factorization


13 428, 533, 571, 299
428, 41, 571, 23

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

13 x 428 x 41 x 571 x 23 = 2995952492

Therefore, the lowest common multiple of 428,533,571,299 is 2995952492.

LCM Formula to Find Lowest Common Multiple of 428,533,571,299

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.

428 x 533 x 571 x 299 = 38947382396

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.

428 : 1, 2, 4, 107, 214, 428

533 : 1, 13, 41, 533

571 : 1, 571

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,533,571,299, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

533:13x 41

571:571

299:13x 23

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

13 = 13

Therefore, the value for common factors is 13.

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 = 38947382396/(1x13)

LCM = 38947382396/13

LCM = 2995952492

Thus, we can understand that the LCM of 428,533,571,299 is 2995952492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 533, 571, 299

1. What is the LCM of 428, 533, 571, 299?

Answer: LCM of 428, 533, 571, 299 is 2995952492.

2. How to calculate the LCM of 428, 533, 571, 299?

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 428, 533, 571, 299.

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}.