Given numbers are 369,414,936,258,668

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

The LCM of 369,414,936,258,668 is 6338295288.

Find LCM of 369,414,936,258,668 with Prime Factorization

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

2 x 2 x 3 x 3 x 41 x 23 x 26 x 43 x 167 = 6338295288

Therefore, the lowest common multiple of 369,414,936,258,668 is 6338295288.

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.

369 x 414 x 936 x 258 x 668 = 24643292079744

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.

369 : 1, 3, 9, 41, 123, 369

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

258 : 1, 2, 3, 6, 43, 86, 129, 258

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,414,936,258,668, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

414:2x 3x 3x 23

936:2x 2x 2x 3x 3x 13

258:2x 3x 43

668:2x 2x 167

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 24643292079744/(1x3888)

LCM = 24643292079744/3888

LCM = 6338295288

Thus, we can understand that the LCM of 369,414,936,258,668 is 6338295288.

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

• LCM of 556, 841, 588, 121, 164
• LCM of 874, 672, 779, 657, 577
• LCM of 116, 645, 288, 851, 607
• LCM of 804, 798, 433, 891, 297
• LCM of 604, 572, 956, 506, 744

1. What is the LCM of 369, 414, 936, 258, 668?

Answer: LCM of 369, 414, 936, 258, 668 is 6338295288.

2. How to calculate the LCM of 369, 414, 936, 258, 668?

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 369, 414, 936, 258, 668.

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}.