Given numbers are 402,876,705,346,552

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

The LCM of 402,876,705,346,552 is 109761669960.

Find LCM of 402,876,705,346,552 with Prime Factorization

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

2 x 2 x 3 x 67 x 73 x 235 x 173 x 46 = 109761669960

Therefore, the lowest common multiple of 402,876,705,346,552 is 109761669960.

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.

402 x 876 x 705 x 346 x 552 = 47417041422720

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

705 : 1, 3, 5, 15, 47, 141, 235, 705

346 : 1, 2, 173, 346

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,876,705,346,552, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

876:2x 2x 3x 73

705:3x 5x 47

346:2x 173

552:2x 2x 2x 3x 23

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 47417041422720/(1x432)

LCM = 47417041422720/432

LCM = 109761669960

Thus, we can understand that the LCM of 402,876,705,346,552 is 109761669960.

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

• LCM of 364, 498, 358, 500, 555
• LCM of 459, 658, 453, 907, 616
• LCM of 294, 577, 692, 374, 557
• LCM of 985, 318, 494, 938, 870
• LCM of 737, 447, 732, 727, 561

1. What is the LCM of 402, 876, 705, 346, 552?

Answer: LCM of 402, 876, 705, 346, 552 is 109761669960.

2. How to calculate the LCM of 402, 876, 705, 346, 552?

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 402, 876, 705, 346, 552.

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}.