Given numbers are 402,336,224,338,689

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

The LCM of 402,336,224,338,689 is 403279968.

Find LCM of 402,336,224,338,689 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 13 x 67 x 1 x 2 x 13 x 53 = 403279968

Therefore, the lowest common multiple of 402,336,224,338,689 is 403279968.

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 336 x 224 x 338 x 689 = 7046107600896

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

338 : 1, 2, 13, 26, 169, 338

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,336,224,338,689, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

336:2x 2x 2x 2x 3x 7

224:2x 2x 2x 2x 2x 7

338:2x 13x 13

689:13x 53

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 3x 7x 13 = 17472

Therefore, the value for common factors is 17472.

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 = 7046107600896/(1x17472)

LCM = 7046107600896/17472

LCM = 403279968

Thus, we can understand that the LCM of 402,336,224,338,689 is 403279968.

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

• LCM of 195, 719, 312, 799, 739
• LCM of 270, 501, 883, 464, 639
• LCM of 462, 831, 599, 431, 339
• LCM of 250, 837, 668, 709, 645
• LCM of 110, 942, 954, 707, 756

1. What is the LCM of 402, 336, 224, 338, 689?

Answer: LCM of 402, 336, 224, 338, 689 is 403279968.

2. How to calculate the LCM of 402, 336, 224, 338, 689?

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, 336, 224, 338, 689.

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}.