Given numbers are 746,201,900,852,537

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

The LCM of 746,201,900,852,537 is 285849557100.

Find LCM of 746,201,900,852,537 with Prime Factorization

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

2 x 2 x 3 x 373 x 67 x 75 x 71 x 179 = 285849557100

Therefore, the lowest common multiple of 746,201,900,852,537 is 285849557100.

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.

746 x 201 x 900 x 852 x 537 = 61743504333600

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.

746 : 1, 2, 373, 746

201 : 1, 3, 67, 201

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,201,900,852,537, is 1.

Now, the common factors can be found like this.

746:2x 373

201:3x 67

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

852:2x 2x 3x 71

537:3x 179

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 61743504333600/(1x216)

LCM = 61743504333600/216

LCM = 285849557100

Thus, we can understand that the LCM of 746,201,900,852,537 is 285849557100.

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

• LCM of 217, 309, 313, 335, 589
• LCM of 150, 738, 423, 900, 228
• LCM of 570, 123, 464, 428, 451
• LCM of 156, 788, 622, 170, 878
• LCM of 223, 416, 499, 438, 353

1. What is the LCM of 746, 201, 900, 852, 537?

Answer: LCM of 746, 201, 900, 852, 537 is 285849557100.

2. How to calculate the LCM of 746, 201, 900, 852, 537?

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 746, 201, 900, 852, 537.

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}.