Given numbers are 214,452,226,677

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

The LCM of 214,452,226,677 is 32742428.

Find LCM of 214,452,226,677 with Prime Factorization

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

2 x 113 x 107 x 2 x 1 x 677 = 32742428

Therefore, the lowest common multiple of 214,452,226,677 is 32742428.

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.

214 x 452 x 226 x 677 = 14799577456

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.

214 : 1, 2, 107, 214

452 : 1, 2, 4, 113, 226, 452

226 : 1, 2, 113, 226

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,452,226,677, is 1.

Now, the common factors can be found like this.

214:2x 107

452:2x 2x 113

226:2x 113

677:677

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 113 = 452

Therefore, the value for common factors is 452.

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 = 14799577456/(1x452)

LCM = 14799577456/452

LCM = 32742428

Thus, we can understand that the LCM of 214,452,226,677 is 32742428.

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

• LCM of 148, 281, 187, 398
• LCM of 950, 620, 596, 792
• LCM of 671, 257, 720, 608
• LCM of 412, 148, 619, 999
• LCM of 651, 510, 689, 299

1. What is the LCM of 214, 452, 226, 677?

Answer: LCM of 214, 452, 226, 677 is 32742428.

2. How to calculate the LCM of 214, 452, 226, 677?

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 214, 452, 226, 677.

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}.