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LCM of 684, 606, 890, 390, 144

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


Find the LCM of 684, 606, 890, 390, 144 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 684, 606, 890, 390, 144. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,606,890,390,144

Given numbers are 684,606,890,390,144

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

The LCM of 684,606,890,390,144 is 1598603760.

Find LCM of 684,606,890,390,144 with Prime Factorization


2 684, 606, 890, 390, 144
2 342, 303, 445, 195, 72
3 171, 303, 445, 195, 36
3 57, 101, 445, 65, 12
5 19, 101, 445, 65, 4
19, 101, 89, 13, 4

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

2 x 2 x 3 x 3 x 5 x 19 x 101 x 89 x 13 x 4 = 1598603760

Therefore, the lowest common multiple of 684,606,890,390,144 is 1598603760.

LCM Formula to Find Lowest Common Multiple of 684,606,890,390,144

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.

684 x 606 x 890 x 390 x 144 = 20717904729600

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

606 : 1, 2, 3, 6, 101, 202, 303, 606

890 : 1, 2, 5, 10, 89, 178, 445, 890

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,606,890,390,144, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

606:2x 3x 101

890:2x 5x 89

390:2x 3x 5x 13

144:2x 2x 2x 2x 3x 3

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 2x 2x 3x 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 20717904729600/(2x6480)

LCM = 20717904729600/12960

LCM = 1598603760

Thus, we can understand that the LCM of 684,606,890,390,144 is 1598603760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 606, 890, 390, 144

1. What is the LCM of 684, 606, 890, 390, 144?

Answer: LCM of 684, 606, 890, 390, 144 is 1598603760.

2. How to calculate the LCM of 684, 606, 890, 390, 144?

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 684, 606, 890, 390, 144.

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}.