Given numbers are 535,401,414,802

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

The LCM of 535,401,414,802 is 88817490.

Find LCM of 535,401,414,802 with Prime Factorization

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

2 x 401 x 535 x 1 x 207 x 1 = 88817490

Therefore, the lowest common multiple of 535,401,414,802 is 88817490.

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.

535 x 401 x 414 x 802 = 71231626980

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.

535 : 1, 5, 107, 535

401 : 1, 401

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,401,414,802, is 1.

Now, the common factors can be found like this.

535:5x 107

401:401

414:2x 3x 3x 23

802:2x 401

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

2x 401 = 802

Therefore, the value for common factors is 802.

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 = 71231626980/(1x802)

LCM = 71231626980/802

LCM = 88817490

Thus, we can understand that the LCM of 535,401,414,802 is 88817490.

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

• LCM of 433, 407, 672, 839
• LCM of 455, 120, 112, 711
• LCM of 721, 875, 830, 775
• LCM of 454, 269, 724, 296
• LCM of 618, 418, 938, 963

1. What is the LCM of 535, 401, 414, 802?

Answer: LCM of 535, 401, 414, 802 is 88817490.

2. How to calculate the LCM of 535, 401, 414, 802?

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 535, 401, 414, 802.

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}.