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LCM of 629, 899, 565, 630

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


Find the LCM of 629, 899, 565, 630 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 629, 899, 565, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,899,565,630

Given numbers are 629,899,565,630

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

The LCM of 629,899,565,630 is 40255880490.

Find LCM of 629,899,565,630 with Prime Factorization


5 629, 899, 565, 630
629, 899, 113, 126

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

5 x 629 x 899 x 113 x 126 = 40255880490

Therefore, the lowest common multiple of 629,899,565,630 is 40255880490.

LCM Formula to Find Lowest Common Multiple of 629,899,565,630

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.

629 x 899 x 565 x 630 = 201279402450

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.

629 : 1, 17, 37, 629

899 : 1, 29, 31, 899

565 : 1, 5, 113, 565

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,899,565,630, is 1.

Now, the common factors can be found like this.

629:17x 37

899:29x 31

565:5x 113

630:2x 3x 3x 5x 7

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

5 = 5

Therefore, the value for common factors is 5.

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 = 201279402450/(1x5)

LCM = 201279402450/5

LCM = 40255880490

Thus, we can understand that the LCM of 629,899,565,630 is 40255880490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 899, 565, 630

1. What is the LCM of 629, 899, 565, 630?

Answer: LCM of 629, 899, 565, 630 is 40255880490.

2. How to calculate the LCM of 629, 899, 565, 630?

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 629, 899, 565, 630.

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}.