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LCM of 452, 438, 349, 817

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


Find the LCM of 452, 438, 349, 817 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 452, 438, 349, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,438,349,817

Given numbers are 452,438,349,817

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

The LCM of 452,438,349,817 is 28224745404.

Find LCM of 452,438,349,817 with Prime Factorization


2 452, 438, 349, 817
226, 219, 349, 817

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

2 x 226 x 219 x 349 x 817 = 28224745404

Therefore, the lowest common multiple of 452,438,349,817 is 28224745404.

LCM Formula to Find Lowest Common Multiple of 452,438,349,817

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.

452 x 438 x 349 x 817 = 56449490808

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.

452 : 1, 2, 4, 113, 226, 452

438 : 1, 2, 3, 6, 73, 146, 219, 438

349 : 1, 349

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,438,349,817, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

438:2x 3x 73

349:349

817:19x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 56449490808/(1x2)

LCM = 56449490808/2

LCM = 28224745404

Thus, we can understand that the LCM of 452,438,349,817 is 28224745404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 438, 349, 817

1. What is the LCM of 452, 438, 349, 817?

Answer: LCM of 452, 438, 349, 817 is 28224745404.

2. How to calculate the LCM of 452, 438, 349, 817?

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 452, 438, 349, 817.

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}.