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LCM of 654, 854, 450, 436

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


Find the LCM of 654, 854, 450, 436 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 654, 854, 450, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,854,450,436

Given numbers are 654,854,450,436

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

The LCM of 654,854,450,436 is 41888700.

Find LCM of 654,854,450,436 with Prime Factorization


2 654, 854, 450, 436
3 327, 427, 225, 218
109 109, 427, 75, 218
1, 427, 75, 2

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

2 x 3 x 109 x 1 x 427 x 75 x 2 = 41888700

Therefore, the lowest common multiple of 654,854,450,436 is 41888700.

LCM Formula to Find Lowest Common Multiple of 654,854,450,436

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.

654 x 854 x 450 x 436 = 109580839200

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

854 : 1, 2, 7, 14, 61, 122, 427, 854

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

436 : 1, 2, 4, 109, 218, 436

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,854,450,436, is 2.

Now, the common factors can be found like this.

654:2x 3x 109

854:2x 7x 61

450:2x 3x 3x 5x 5

436:2x 2x 109

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 3x 109 = 1308

Therefore, the value for common factors is 1308.

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 = 109580839200/(2x1308)

LCM = 109580839200/2616

LCM = 41888700

Thus, we can understand that the LCM of 654,854,450,436 is 41888700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 854, 450, 436

1. What is the LCM of 654, 854, 450, 436?

Answer: LCM of 654, 854, 450, 436 is 41888700.

2. How to calculate the LCM of 654, 854, 450, 436?

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 654, 854, 450, 436.

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}.