Given numbers are 326,126,920,621,792

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

The LCM of 326,126,920,621,792 is 311766840.

Find LCM of 326,126,920,621,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 163 x 7 x 5 x 3 x 11 = 311766840

Therefore, the lowest common multiple of 326,126,920,621,792 is 311766840.

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.

326 x 126 x 920 x 621 x 792 = 18586291933440

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.

326 : 1, 2, 163, 326

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

621 : 1, 3, 9, 23, 27, 69, 207, 621

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,126,920,621,792, is 1.

Now, the common factors can be found like this.

326:2x 163

126:2x 3x 3x 7

920:2x 2x 2x 5x 23

621:3x 3x 3x 23

792:2x 2x 2x 3x 3x 11

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 2x 3x 3x 3x 3x 23 = 59616

Therefore, the value for common factors is 59616.

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 = 18586291933440/(1x59616)

LCM = 18586291933440/59616

LCM = 311766840

Thus, we can understand that the LCM of 326,126,920,621,792 is 311766840.

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

• LCM of 876, 772, 507, 664, 790
• LCM of 781, 687, 847, 928, 442
• LCM of 835, 602, 423, 312, 931
• LCM of 455, 292, 951, 368, 333
• LCM of 972, 229, 193, 189, 833

1. What is the LCM of 326, 126, 920, 621, 792?

Answer: LCM of 326, 126, 920, 621, 792 is 311766840.

2. How to calculate the LCM of 326, 126, 920, 621, 792?

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 326, 126, 920, 621, 792.

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}.