Given numbers are 657,214,749,233

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

The LCM of 657,214,749,233 is 229315338.

Find LCM of 657,214,749,233 with Prime Factorization

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

107 x 657 x 2 x 7 x 233 = 229315338

Therefore, the lowest common multiple of 657,214,749,233 is 229315338.

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.

657 x 214 x 749 x 233 = 24536741166

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.

657 : 1, 3, 9, 73, 219, 657

214 : 1, 2, 107, 214

749 : 1, 7, 107, 749

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,214,749,233, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

214:2x 107

749:7x 107

233:233

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

107 = 107

Therefore, the value for common factors is 107.

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 = 24536741166/(1x107)

LCM = 24536741166/107

LCM = 229315338

Thus, we can understand that the LCM of 657,214,749,233 is 229315338.

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

• LCM of 371, 449, 768, 718
• LCM of 181, 995, 265, 571
• LCM of 451, 319, 778, 601
• LCM of 647, 523, 306, 460
• LCM of 920, 709, 189, 406

1. What is the LCM of 657, 214, 749, 233?

Answer: LCM of 657, 214, 749, 233 is 229315338.

2. How to calculate the LCM of 657, 214, 749, 233?

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 657, 214, 749, 233.

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}.