Given numbers are 402,410,737,706

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

The LCM of 402,410,737,706 is 319998030.

Find LCM of 402,410,737,706 with Prime Factorization

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

2 x 67 x 3 x 205 x 11 x 353 = 319998030

Therefore, the lowest common multiple of 402,410,737,706 is 319998030.

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 410 x 737 x 706 = 85759472040

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

737 : 1, 11, 67, 737

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,410,737,706, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

410:2x 5x 41

737:11x 67

706:2x 353

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 67 = 268

Therefore, the value for common factors is 268.

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 = 85759472040/(1x268)

LCM = 85759472040/268

LCM = 319998030

Thus, we can understand that the LCM of 402,410,737,706 is 319998030.

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

• LCM of 317, 608, 174, 973
• LCM of 409, 770, 713, 879
• LCM of 526, 857, 214, 721
• LCM of 143, 432, 719, 371
• LCM of 525, 140, 762, 475

1. What is the LCM of 402, 410, 737, 706?

Answer: LCM of 402, 410, 737, 706 is 319998030.

2. How to calculate the LCM of 402, 410, 737, 706?

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, 410, 737, 706.

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}.