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LCM of 630, 462, 170, 544

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


Find the LCM of 630, 462, 170, 544 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 630, 462, 170, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,462,170,544

Given numbers are 630,462,170,544

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

The LCM of 630,462,170,544 is 1884960.

Find LCM of 630,462,170,544 with Prime Factorization


2 630, 462, 170, 544
3 315, 231, 85, 272
5 105, 77, 85, 272
7 21, 77, 17, 272
17 3, 11, 17, 272
3, 11, 1, 16

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

2 x 3 x 5 x 7 x 17 x 3 x 11 x 1 x 16 = 1884960

Therefore, the lowest common multiple of 630,462,170,544 is 1884960.

LCM Formula to Find Lowest Common Multiple of 630,462,170,544

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.

630 x 462 x 170 x 544 = 26917228800

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.

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

170 : 1, 2, 5, 10, 17, 34, 85, 170

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,462,170,544, is 2.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

462:2x 3x 7x 11

170:2x 5x 17

544:2x 2x 2x 2x 2x 17

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 5x 7x 17 = 7140

Therefore, the value for common factors is 7140.

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 = 26917228800/(2x7140)

LCM = 26917228800/14280

LCM = 1884960

Thus, we can understand that the LCM of 630,462,170,544 is 1884960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 462, 170, 544

1. What is the LCM of 630, 462, 170, 544?

Answer: LCM of 630, 462, 170, 544 is 1884960.

2. How to calculate the LCM of 630, 462, 170, 544?

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 630, 462, 170, 544.

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}.