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LCM of 452, 759, 283, 430

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


Find the LCM of 452, 759, 283, 430 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, 759, 283, 430. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,759,283,430

Given numbers are 452,759,283,430

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

The LCM of 452,759,283,430 is 20873972460.

Find LCM of 452,759,283,430 with Prime Factorization


2 452, 759, 283, 430
226, 759, 283, 215

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

2 x 226 x 759 x 283 x 215 = 20873972460

Therefore, the lowest common multiple of 452,759,283,430 is 20873972460.

LCM Formula to Find Lowest Common Multiple of 452,759,283,430

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 759 x 283 x 430 = 41747944920

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

283 : 1, 283

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,759,283,430, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

759:3x 11x 23

283:283

430:2x 5x 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 = 41747944920/(1x2)

LCM = 41747944920/2

LCM = 20873972460

Thus, we can understand that the LCM of 452,759,283,430 is 20873972460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 759, 283, 430

1. What is the LCM of 452, 759, 283, 430?

Answer: LCM of 452, 759, 283, 430 is 20873972460.

2. How to calculate the LCM of 452, 759, 283, 430?

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, 759, 283, 430.

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}.