Given numbers are 362,148,369

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

The LCM of 362,148,369 is 9884772.

Find LCM of 362,148,369 with Prime Factorization

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

2 x 181 x 74 x 369 = 9884772

Therefore, the lowest common multiple of 362,148,369 is 9884772.

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.

362 x 148 x 369 = 19769544

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.

362 : 1, 2, 181, 362

148 : 1, 2, 4, 37, 74, 148

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,148,369, is 1.

Now, the common factors can be found like this.

362:2x 181

148:2x 2x 37

369:3x 3x 41

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 = 19769544/(1x2)

LCM = 19769544/2

LCM = 9884772

Thus, we can understand that the LCM of 362,148,369 is 9884772.

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

• LCM of 280, 369, 251
• LCM of 380, 252, 107
• LCM of 973, 696, 980
• LCM of 292, 791, 885
• LCM of 490, 342, 934

1. What is the LCM of 362, 148, 369?

Answer: LCM of 362, 148, 369 is 9884772.

2. How to calculate the LCM of 362, 148, 369?

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 362, 148, 369.

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}.