Given numbers are 667,754,350,409,402

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

The LCM of 667,754,350,409,402 is 249491983650.

Find LCM of 667,754,350,409,402 with Prime Factorization

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

2 x 29 x 23 x 13 x 175 x 409 x 201 = 249491983650

Therefore, the lowest common multiple of 667,754,350,409,402 is 249491983650.

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.

667 x 754 x 350 x 409 x 402 = 28941070103400

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.

667 : 1, 23, 29, 667

754 : 1, 2, 13, 26, 29, 58, 377, 754

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

409 : 1, 409

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,754,350,409,402, is 1.

Now, the common factors can be found like this.

667:23x 29

754:2x 13x 29

350:2x 5x 5x 7

409:409

402:2x 3x 67

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 29 = 116

Therefore, the value for common factors is 116.

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 = 28941070103400/(1x116)

LCM = 28941070103400/116

LCM = 249491983650

Thus, we can understand that the LCM of 667,754,350,409,402 is 249491983650.

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

• LCM of 723, 989, 613, 126, 518
• LCM of 892, 955, 607, 510, 387
• LCM of 795, 780, 204, 523, 216
• LCM of 501, 548, 424, 210, 569
• LCM of 770, 401, 384, 132, 514

1. What is the LCM of 667, 754, 350, 409, 402?

Answer: LCM of 667, 754, 350, 409, 402 is 249491983650.

2. How to calculate the LCM of 667, 754, 350, 409, 402?

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 667, 754, 350, 409, 402.

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}.