Given numbers are 804,167,207,377,972

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

The LCM of 804,167,207,377,972 is 94303264068.

Find LCM of 804,167,207,377,972 with Prime Factorization

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

2 x 2 x 3 x 3 x 67 x 167 x 23 x 377 x 27 = 94303264068

Therefore, the lowest common multiple of 804,167,207,377,972 is 94303264068.

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.

804 x 167 x 207 x 377 x 972 = 10184752519344

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

167 : 1, 167

207 : 1, 3, 9, 23, 69, 207

377 : 1, 13, 29, 377

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,167,207,377,972, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

167:167

207:3x 3x 23

377:13x 29

972:2x 2x 3x 3x 3x 3x 3

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 = 10184752519344/(1x108)

LCM = 10184752519344/108

LCM = 94303264068

Thus, we can understand that the LCM of 804,167,207,377,972 is 94303264068.

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

• LCM of 911, 433, 561, 897, 663
• LCM of 274, 938, 831, 715, 172
• LCM of 416, 521, 303, 198, 902
• LCM of 849, 882, 113, 591, 114
• LCM of 241, 722, 447, 195, 667

1. What is the LCM of 804, 167, 207, 377, 972?

Answer: LCM of 804, 167, 207, 377, 972 is 94303264068.

2. How to calculate the LCM of 804, 167, 207, 377, 972?

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 804, 167, 207, 377, 972.

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}.