Given numbers are 920,756,626,466,358

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

The LCM of 920,756,626,466,358 is 2269880119080.

Find LCM of 920,756,626,466,358 with Prime Factorization

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

2 x 2 x 230 x 189 x 313 x 233 x 179 = 2269880119080

Therefore, the lowest common multiple of 920,756,626,466,358 is 2269880119080.

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.

920 x 756 x 626 x 466 x 358 = 72636163810560

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.

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

626 : 1, 2, 313, 626

466 : 1, 2, 233, 466

358 : 1, 2, 179, 358

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,756,626,466,358, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

756:2x 2x 3x 3x 3x 7

626:2x 313

466:2x 233

358:2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 72636163810560/(2x16)

LCM = 72636163810560/32

LCM = 2269880119080

Thus, we can understand that the LCM of 920,756,626,466,358 is 2269880119080.

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

• LCM of 732, 365, 156, 278, 324
• LCM of 688, 958, 926, 713, 445
• LCM of 531, 133, 621, 132, 101
• LCM of 350, 956, 209, 416, 117
• LCM of 923, 424, 122, 433, 689

1. What is the LCM of 920, 756, 626, 466, 358?

Answer: LCM of 920, 756, 626, 466, 358 is 2269880119080.

2. How to calculate the LCM of 920, 756, 626, 466, 358?

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 920, 756, 626, 466, 358.

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}.