Given numbers are 972,689,169

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

The LCM of 972,689,169 is 8706204.

Find LCM of 972,689,169 with Prime Factorization

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

13 x 972 x 53 x 13 = 8706204

Therefore, the lowest common multiple of 972,689,169 is 8706204.

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 689 x 169 = 113180652

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

689 : 1, 13, 53, 689

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,689,169, is 1.

Now, the common factors can be found like this.

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

689:13x 53

169:13x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 113180652/(1x13)

LCM = 113180652/13

LCM = 8706204

Thus, we can understand that the LCM of 972,689,169 is 8706204.

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

• LCM of 963, 587, 540
• LCM of 861, 259, 643
• LCM of 598, 589, 520
• LCM of 267, 148, 338
• LCM of 904, 624, 984

1. What is the LCM of 972, 689, 169?

Answer: LCM of 972, 689, 169 is 8706204.

2. How to calculate the LCM of 972, 689, 169?

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, 689, 169.

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}.