Given numbers are 360,271,346

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

The LCM of 360,271,346 is 16877880.

Find LCM of 360,271,346 with Prime Factorization

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

2 x 180 x 271 x 173 = 16877880

Therefore, the lowest common multiple of 360,271,346 is 16877880.

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.

360 x 271 x 346 = 33755760

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

271 : 1, 271

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,271,346, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

271:271

346:2x 173

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 = 33755760/(1x2)

LCM = 33755760/2

LCM = 16877880

Thus, we can understand that the LCM of 360,271,346 is 16877880.

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

• LCM of 774, 364, 678
• LCM of 926, 836, 366
• LCM of 190, 303, 500
• LCM of 151, 350, 465
• LCM of 929, 387, 508

1. What is the LCM of 360, 271, 346?

Answer: LCM of 360, 271, 346 is 16877880.

2. How to calculate the LCM of 360, 271, 346?

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 360, 271, 346.

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}.