Given numbers are 224,235,168,872,410

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

The LCM of 224,235,168,872,410 is 705744480.

Find LCM of 224,235,168,872,410 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 4 x 47 x 3 x 109 x 41 = 705744480

Therefore, the lowest common multiple of 224,235,168,872,410 is 705744480.

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.

224 x 235 x 168 x 872 x 410 = 3161735270400

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

235 : 1, 5, 47, 235

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

872 : 1, 2, 4, 8, 109, 218, 436, 872

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,235,168,872,410, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

235:5x 47

168:2x 2x 2x 3x 7

872:2x 2x 2x 109

410:2x 5x 41

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

2x 2x 2x 2x 2x 2x 2x 5x 7 = 4480

Therefore, the value for common factors is 4480.

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 = 3161735270400/(1x4480)

LCM = 3161735270400/4480

LCM = 705744480

Thus, we can understand that the LCM of 224,235,168,872,410 is 705744480.

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

• LCM of 820, 801, 172, 336, 318
• LCM of 647, 990, 838, 650, 805
• LCM of 415, 808, 284, 745, 707
• LCM of 421, 881, 603, 839, 260
• LCM of 419, 462, 225, 631, 855

1. What is the LCM of 224, 235, 168, 872, 410?

Answer: LCM of 224, 235, 168, 872, 410 is 705744480.

2. How to calculate the LCM of 224, 235, 168, 872, 410?

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 224, 235, 168, 872, 410.

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}.