Given numbers are 736,354,920,471,984

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

The LCM of 736,354,920,471,984 is 4192804320.

Find LCM of 736,354,920,471,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 4 x 59 x 5 x 157 x 41 = 4192804320

Therefore, the lowest common multiple of 736,354,920,471,984 is 4192804320.

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.

736 x 354 x 920 x 471 x 984 = 111092543262720

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

471 : 1, 3, 157, 471

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,354,920,471,984, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

354:2x 3x 59

920:2x 2x 2x 5x 23

471:3x 157

984:2x 2x 2x 3x 41

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 2x 2x 3x 3x 23 = 26496

Therefore, the value for common factors is 26496.

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 = 111092543262720/(1x26496)

LCM = 111092543262720/26496

LCM = 4192804320

Thus, we can understand that the LCM of 736,354,920,471,984 is 4192804320.

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

• LCM of 948, 227, 175, 426, 355
• LCM of 707, 803, 523, 632, 563
• LCM of 413, 205, 675, 825, 574
• LCM of 916, 782, 903, 890, 219
• LCM of 941, 976, 883, 412, 738

1. What is the LCM of 736, 354, 920, 471, 984?

Answer: LCM of 736, 354, 920, 471, 984 is 4192804320.

2. How to calculate the LCM of 736, 354, 920, 471, 984?

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 736, 354, 920, 471, 984.

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}.