Given numbers are 201,153,420,907,912

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

The LCM of 201,153,420,907,912 is 98927070480.

Find LCM of 201,153,420,907,912 with Prime Factorization

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

2 x 2 x 3 x 67 x 51 x 35 x 907 x 76 = 98927070480

Therefore, the lowest common multiple of 201,153,420,907,912 is 98927070480.

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.

201 x 153 x 420 x 907 x 912 = 10684123611840

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.

201 : 1, 3, 67, 201

153 : 1, 3, 9, 17, 51, 153

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

907 : 1, 907

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,153,420,907,912, is 1.

Now, the common factors can be found like this.

201:3x 67

153:3x 3x 17

420:2x 2x 3x 5x 7

907:907

912:2x 2x 2x 2x 3x 19

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 10684123611840/(1x108)

LCM = 10684123611840/108

LCM = 98927070480

Thus, we can understand that the LCM of 201,153,420,907,912 is 98927070480.

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

• LCM of 756, 640, 211, 975, 638
• LCM of 507, 351, 934, 924, 817
• LCM of 101, 137, 172, 893, 652
• LCM of 169, 880, 530, 133, 198
• LCM of 654, 165, 231, 236, 984

1. What is the LCM of 201, 153, 420, 907, 912?

Answer: LCM of 201, 153, 420, 907, 912 is 98927070480.

2. How to calculate the LCM of 201, 153, 420, 907, 912?

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 201, 153, 420, 907, 912.

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}.