Given numbers are 402,201,674,900,704

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

The LCM of 402,201,674,900,704 is 3576513600.

Find LCM of 402,201,674,900,704 with Prime Factorization

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

2 x 2 x 3 x 67 x 1 x 1 x 337 x 75 x 176 = 3576513600

Therefore, the lowest common multiple of 402,201,674,900,704 is 3576513600.

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.

402 x 201 x 674 x 900 x 704 = 34506203212800

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

201 : 1, 3, 67, 201

674 : 1, 2, 337, 674

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,201,674,900,704, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

201:3x 67

674:2x 337

900:2x 2x 3x 3x 5x 5

704:2x 2x 2x 2x 2x 2x 11

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

2x 2x 2x 2x 3x 3x 67 = 9648

Therefore, the value for common factors is 9648.

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 = 34506203212800/(1x9648)

LCM = 34506203212800/9648

LCM = 3576513600

Thus, we can understand that the LCM of 402,201,674,900,704 is 3576513600.

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

• LCM of 552, 459, 139, 761, 828
• LCM of 963, 554, 878, 945, 729
• LCM of 697, 982, 424, 278, 248
• LCM of 777, 955, 883, 826, 249
• LCM of 695, 321, 917, 374, 482

1. What is the LCM of 402, 201, 674, 900, 704?

Answer: LCM of 402, 201, 674, 900, 704 is 3576513600.

2. How to calculate the LCM of 402, 201, 674, 900, 704?

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 402, 201, 674, 900, 704.

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}.