Given numbers are 735,964,802,401

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

The LCM of 735,964,802,401 is 284124540.

Find LCM of 735,964,802,401 with Prime Factorization

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

2 x 401 x 735 x 482 x 1 x 1 = 284124540

Therefore, the lowest common multiple of 735,964,802,401 is 284124540.

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.

735 x 964 x 802 x 401 = 227867881080

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

964 : 1, 2, 4, 241, 482, 964

802 : 1, 2, 401, 802

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,964,802,401, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

964:2x 2x 241

802:2x 401

401:401

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 = 227867881080/(1x802)

LCM = 227867881080/802

LCM = 284124540

Thus, we can understand that the LCM of 735,964,802,401 is 284124540.

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

• LCM of 846, 148, 870, 745
• LCM of 983, 895, 924, 768
• LCM of 811, 123, 677, 370
• LCM of 639, 933, 429, 317
• LCM of 137, 920, 495, 109

1. What is the LCM of 735, 964, 802, 401?

Answer: LCM of 735, 964, 802, 401 is 284124540.

2. How to calculate the LCM of 735, 964, 802, 401?

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 735, 964, 802, 401.

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}.