Given numbers are 749,401,323,802

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

The LCM of 749,401,323,802 is 194025454.

Find LCM of 749,401,323,802 with Prime Factorization

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

401 x 749 x 1 x 323 x 2 = 194025454

Therefore, the lowest common multiple of 749,401,323,802 is 194025454.

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.

749 x 401 x 323 x 802 = 77804207054

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.

749 : 1, 7, 107, 749

401 : 1, 401

323 : 1, 17, 19, 323

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,401,323,802, is 1.

Now, the common factors can be found like this.

749:7x 107

401:401

323:17x 19

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.

401 = 401

Therefore, the value for common factors is 401.

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 = 77804207054/(1x401)

LCM = 77804207054/401

LCM = 194025454

Thus, we can understand that the LCM of 749,401,323,802 is 194025454.

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

• LCM of 259, 175, 349, 236
• LCM of 438, 129, 815, 582
• LCM of 138, 644, 822, 128
• LCM of 513, 234, 545, 896
• LCM of 538, 299, 516, 644

1. What is the LCM of 749, 401, 323, 802?

Answer: LCM of 749, 401, 323, 802 is 194025454.

2. How to calculate the LCM of 749, 401, 323, 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 749, 401, 323, 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}.