Given numbers are 810,920,295,735

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

The LCM of 810,920,295,735 is 215437320.

Find LCM of 810,920,295,735 with Prime Factorization

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

2 x 3 x 5 x 27 x 92 x 59 x 49 = 215437320

Therefore, the lowest common multiple of 810,920,295,735 is 215437320.

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.

810 x 920 x 295 x 735 = 161577990000

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

295 : 1, 5, 59, 295

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

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,920,295,735, is 5.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

920:2x 2x 2x 5x 23

295:5x 59

735:3x 5x 7x 7

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

2x 3x 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 161577990000/(5x150)

LCM = 161577990000/750

LCM = 215437320

Thus, we can understand that the LCM of 810,920,295,735 is 215437320.

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

• LCM of 971, 410, 892, 490
• LCM of 623, 486, 650, 386
• LCM of 296, 639, 172, 916
• LCM of 910, 707, 972, 314
• LCM of 724, 852, 206, 167

1. What is the LCM of 810, 920, 295, 735?

Answer: LCM of 810, 920, 295, 735 is 215437320.

2. How to calculate the LCM of 810, 920, 295, 735?

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 810, 920, 295, 735.

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}.