Given numbers are 972,214,146

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

The LCM of 972,214,146 is 7592292.

Find LCM of 972,214,146 with Prime Factorization

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

2 x 486 x 107 x 73 = 7592292

Therefore, the lowest common multiple of 972,214,146 is 7592292.

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 214 x 146 = 30369168

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

214 : 1, 2, 107, 214

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,214,146, is 2.

Now, the common factors can be found like this.

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

214:2x 107

146:2x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 30369168/(2x2)

LCM = 30369168/4

LCM = 7592292

Thus, we can understand that the LCM of 972,214,146 is 7592292.

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

• LCM of 505, 730, 799
• LCM of 890, 819, 304
• LCM of 959, 754, 297
• LCM of 903, 281, 240
• LCM of 793, 716, 869

1. What is the LCM of 972, 214, 146?

Answer: LCM of 972, 214, 146 is 7592292.

2. How to calculate the LCM of 972, 214, 146?

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, 214, 146.

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}.