Given numbers are 314,553,421,474

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

The LCM of 314,553,421,474 is 219309846.

Find LCM of 314,553,421,474 with Prime Factorization

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

2 x 79 x 157 x 7 x 421 x 3 = 219309846

Therefore, the lowest common multiple of 314,553,421,474 is 219309846.

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 553 x 421 x 474 = 34650955668

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

553 : 1, 7, 79, 553

421 : 1, 421

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,553,421,474, is 1.

Now, the common factors can be found like this.

314:2x 157

553:7x 79

421:421

474:2x 3x 79

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

2x 79 = 158

Therefore, the value for common factors is 158.

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 = 34650955668/(1x158)

LCM = 34650955668/158

LCM = 219309846

Thus, we can understand that the LCM of 314,553,421,474 is 219309846.

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

• LCM of 877, 757, 801, 735
• LCM of 914, 826, 158, 507
• LCM of 992, 554, 985, 415
• LCM of 937, 410, 199, 134
• LCM of 608, 866, 192, 243

1. What is the LCM of 314, 553, 421, 474?

Answer: LCM of 314, 553, 421, 474 is 219309846.

2. How to calculate the LCM of 314, 553, 421, 474?

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, 553, 421, 474.

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}.