Given numbers are 428,173,214,274

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

The LCM of 428,173,214,274 is 10144028.

Find LCM of 428,173,214,274 with Prime Factorization

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

2 x 107 x 2 x 173 x 1 x 137 = 10144028

Therefore, the lowest common multiple of 428,173,214,274 is 10144028.

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.

428 x 173 x 214 x 274 = 4341643984

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.

428 : 1, 2, 4, 107, 214, 428

173 : 1, 173

214 : 1, 2, 107, 214

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,173,214,274, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

173:173

214:2x 107

274:2x 137

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 107 = 428

Therefore, the value for common factors is 428.

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 = 4341643984/(1x428)

LCM = 4341643984/428

LCM = 10144028

Thus, we can understand that the LCM of 428,173,214,274 is 10144028.

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

• LCM of 920, 195, 667, 213
• LCM of 283, 527, 788, 243
• LCM of 142, 212, 382, 749
• LCM of 368, 391, 680, 515
• LCM of 736, 564, 902, 535

1. What is the LCM of 428, 173, 214, 274?

Answer: LCM of 428, 173, 214, 274 is 10144028.

2. How to calculate the LCM of 428, 173, 214, 274?

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 428, 173, 214, 274.

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}.