Given numbers are 314,978,402,409

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

The LCM of 314,978,402,409 is 4207621038.

Find LCM of 314,978,402,409 with Prime Factorization

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

2 x 3 x 157 x 163 x 67 x 409 = 4207621038

Therefore, the lowest common multiple of 314,978,402,409 is 4207621038.

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.

314 x 978 x 402 x 409 = 50491452456

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.

314 : 1, 2, 157, 314

978 : 1, 2, 3, 6, 163, 326, 489, 978

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,978,402,409, is 1.

Now, the common factors can be found like this.

314:2x 157

978:2x 3x 163

402:2x 3x 67

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 50491452456/(1x12)

LCM = 50491452456/12

LCM = 4207621038

Thus, we can understand that the LCM of 314,978,402,409 is 4207621038.

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

• LCM of 544, 169, 434, 668
• LCM of 468, 975, 897, 245
• LCM of 466, 801, 535, 553
• LCM of 900, 842, 713, 422
• LCM of 288, 416, 327, 665

1. What is the LCM of 314, 978, 402, 409?

Answer: LCM of 314, 978, 402, 409 is 4207621038.

2. How to calculate the LCM of 314, 978, 402, 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 314, 978, 402, 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}.