Given numbers are 224,458,107,474

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

The LCM of 224,458,107,474 is 1300815264.

Find LCM of 224,458,107,474 with Prime Factorization

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

2 x 112 x 229 x 107 x 237 = 1300815264

Therefore, the lowest common multiple of 224,458,107,474 is 1300815264.

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 458 x 107 x 474 = 5203261056

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

458 : 1, 2, 229, 458

107 : 1, 107

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,458,107,474, is 1.

Now, the common factors can be found like this.

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

458:2x 229

107:107

474:2x 3x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5203261056/(1x4)

LCM = 5203261056/4

LCM = 1300815264

Thus, we can understand that the LCM of 224,458,107,474 is 1300815264.

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

• LCM of 717, 576, 478, 325
• LCM of 575, 541, 381, 407
• LCM of 417, 693, 325, 112
• LCM of 676, 478, 645, 307
• LCM of 188, 279, 839, 436

1. What is the LCM of 224, 458, 107, 474?

Answer: LCM of 224, 458, 107, 474 is 1300815264.

2. How to calculate the LCM of 224, 458, 107, 474?

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, 458, 107, 474.

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}.