Given numbers are 972,193,362

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

The LCM of 972,193,362 is 33954876.

Find LCM of 972,193,362 with Prime Factorization

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

2 x 486 x 193 x 181 = 33954876

Therefore, the lowest common multiple of 972,193,362 is 33954876.

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 193 x 362 = 67909752

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

193 : 1, 193

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,193,362, is 1.

Now, the common factors can be found like this.

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

193:193

362:2x 181

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 = 67909752/(1x2)

LCM = 67909752/2

LCM = 33954876

Thus, we can understand that the LCM of 972,193,362 is 33954876.

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

• LCM of 917, 802, 573
• LCM of 419, 812, 955
• LCM of 142, 377, 412
• LCM of 332, 710, 767
• LCM of 126, 214, 627

1. What is the LCM of 972, 193, 362?

Answer: LCM of 972, 193, 362 is 33954876.

2. How to calculate the LCM of 972, 193, 362?

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, 193, 362.

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}.