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LCM of 638, 671, 755, 450

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


Find the LCM of 638, 671, 755, 450 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 638, 671, 755, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,671,755,450

Given numbers are 638,671,755,450

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

The LCM of 638,671,755,450 is 1322239050.

Find LCM of 638,671,755,450 with Prime Factorization


2 638, 671, 755, 450
5 319, 671, 755, 225
11 319, 671, 151, 45
29, 61, 151, 45

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

2 x 5 x 11 x 29 x 61 x 151 x 45 = 1322239050

Therefore, the lowest common multiple of 638,671,755,450 is 1322239050.

LCM Formula to Find Lowest Common Multiple of 638,671,755,450

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.

638 x 671 x 755 x 450 = 145446295500

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

671 : 1, 11, 61, 671

755 : 1, 5, 151, 755

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,671,755,450, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

671:11x 61

755:5x 151

450:2x 3x 3x 5x 5

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 145446295500/(1x110)

LCM = 145446295500/110

LCM = 1322239050

Thus, we can understand that the LCM of 638,671,755,450 is 1322239050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 671, 755, 450

1. What is the LCM of 638, 671, 755, 450?

Answer: LCM of 638, 671, 755, 450 is 1322239050.

2. How to calculate the LCM of 638, 671, 755, 450?

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 638, 671, 755, 450.

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}.