Given numbers are 585,735,889,672

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

The LCM of 585,735,889,672 is 116494560.

Find LCM of 585,735,889,672 with Prime Factorization

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

3 x 5 x 7 x 39 x 7 x 127 x 32 = 116494560

Therefore, the lowest common multiple of 585,735,889,672 is 116494560.

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.

585 x 735 x 889 x 672 = 256870504800

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

889 : 1, 7, 127, 889

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,735,889,672, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

735:3x 5x 7x 7

889:7x 127

672:2x 2x 2x 2x 2x 3x 7

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

3x 3x 5x 7x 7 = 2205

Therefore, the value for common factors is 2205.

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 = 256870504800/(1x2205)

LCM = 256870504800/2205

LCM = 116494560

Thus, we can understand that the LCM of 585,735,889,672 is 116494560.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 470, 218, 811, 729
• LCM of 789, 148, 656, 441
• LCM of 975, 287, 884, 589
• LCM of 588, 158, 155, 728
• LCM of 596, 125, 470, 320

1. What is the LCM of 585, 735, 889, 672?

Answer: LCM of 585, 735, 889, 672 is 116494560.

2. How to calculate the LCM of 585, 735, 889, 672?

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 585, 735, 889, 672.

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}.