Given numbers are 402,374,346,409

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

The LCM of 402,374,346,409 is 5319086718.

Find LCM of 402,374,346,409 with Prime Factorization

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

2 x 201 x 187 x 173 x 409 = 5319086718

Therefore, the lowest common multiple of 402,374,346,409 is 5319086718.

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 374 x 346 x 409 = 21276346872

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

346 : 1, 2, 173, 346

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,374,346,409, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

374:2x 11x 17

346:2x 173

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21276346872/(1x4)

LCM = 21276346872/4

LCM = 5319086718

Thus, we can understand that the LCM of 402,374,346,409 is 5319086718.

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

• LCM of 644, 213, 123, 766
• LCM of 837, 366, 280, 897
• LCM of 231, 233, 355, 525
• LCM of 928, 160, 899, 900
• LCM of 604, 648, 654, 774

1. What is the LCM of 402, 374, 346, 409?

Answer: LCM of 402, 374, 346, 409 is 5319086718.

2. How to calculate the LCM of 402, 374, 346, 409?

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, 374, 346, 409.

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}.