Given numbers are 972,862,874,739,644

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

The LCM of 972,862,874,739,644 is 947038098132.

Find LCM of 972,862,874,739,644 with Prime Factorization

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

2 x 2 x 23 x 243 x 431 x 19 x 739 x 7 = 947038098132

Therefore, the lowest common multiple of 972,862,874,739,644 is 947038098132.

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.

972 x 862 x 874 x 739 x 644 = 348510020112576

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.

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

862 : 1, 2, 431, 862

874 : 1, 2, 19, 23, 38, 46, 437, 874

739 : 1, 739

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,862,874,739,644, is 1.

Now, the common factors can be found like this.

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

862:2x 431

874:2x 19x 23

739:739

644:2x 2x 7x 23

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 23 = 368

Therefore, the value for common factors is 368.

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 = 348510020112576/(1x368)

LCM = 348510020112576/368

LCM = 947038098132

Thus, we can understand that the LCM of 972,862,874,739,644 is 947038098132.

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

• LCM of 793, 494, 149, 928, 730
• LCM of 103, 623, 387, 260, 400
• LCM of 853, 842, 707, 424, 871
• LCM of 689, 280, 386, 410, 799
• LCM of 916, 109, 840, 837, 668

1. What is the LCM of 972, 862, 874, 739, 644?

Answer: LCM of 972, 862, 874, 739, 644 is 947038098132.

2. How to calculate the LCM of 972, 862, 874, 739, 644?

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 972, 862, 874, 739, 644.

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}.