Given numbers are 224,336,454

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

The LCM of 224,336,454 is 152544.

Find LCM of 224,336,454 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 2 x 3 x 227 = 152544

Therefore, the lowest common multiple of 224,336,454 is 152544.

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 336 x 454 = 34169856

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

454 : 1, 2, 227, 454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,336,454, is 2.

Now, the common factors can be found like this.

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

336:2x 2x 2x 2x 3x 7

454:2x 227

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 7 = 112

Therefore, the value for common factors is 112.

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 = 34169856/(2x112)

LCM = 34169856/224

LCM = 152544

Thus, we can understand that the LCM of 224,336,454 is 152544.

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

• LCM of 716, 222, 948
• LCM of 629, 691, 483
• LCM of 850, 342, 604
• LCM of 940, 107, 595
• LCM of 775, 492, 144

1. What is the LCM of 224, 336, 454?

Answer: LCM of 224, 336, 454 is 152544.

2. How to calculate the LCM of 224, 336, 454?

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, 336, 454.

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}.