Given numbers are 364,401,690,745

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

The LCM of 364,401,690,745 is 7503279420.

Find LCM of 364,401,690,745 with Prime Factorization

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

2 x 5 x 182 x 401 x 69 x 149 = 7503279420

Therefore, the lowest common multiple of 364,401,690,745 is 7503279420.

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.

364 x 401 x 690 x 745 = 75032794200

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

401 : 1, 401

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,401,690,745, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

401:401

690:2x 3x 5x 23

745:5x 149

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 75032794200/(1x10)

LCM = 75032794200/10

LCM = 7503279420

Thus, we can understand that the LCM of 364,401,690,745 is 7503279420.

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

• LCM of 384, 630, 888, 261
• LCM of 984, 495, 322, 428
• LCM of 373, 224, 868, 499
• LCM of 570, 248, 662, 968
• LCM of 897, 556, 683, 831

1. What is the LCM of 364, 401, 690, 745?

Answer: LCM of 364, 401, 690, 745 is 7503279420.

2. How to calculate the LCM of 364, 401, 690, 745?

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 364, 401, 690, 745.

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}.