Given numbers are 258,242,744,816

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

The LCM of 258,242,744,816 is 131615088.

Find LCM of 258,242,744,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 43 x 121 x 31 x 34 = 131615088

Therefore, the lowest common multiple of 258,242,744,816 is 131615088.

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.

258 x 242 x 744 x 816 = 37905145344

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.

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

242 : 1, 2, 11, 22, 121, 242

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,242,744,816, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

242:2x 11x 11

744:2x 2x 2x 3x 31

816:2x 2x 2x 2x 3x 17

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 3 = 144

Therefore, the value for common factors is 144.

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 = 37905145344/(2x144)

LCM = 37905145344/288

LCM = 131615088

Thus, we can understand that the LCM of 258,242,744,816 is 131615088.

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

• LCM of 932, 837, 284, 944
• LCM of 442, 542, 851, 419
• LCM of 895, 780, 687, 134
• LCM of 632, 108, 798, 220
• LCM of 191, 158, 690, 718

1. What is the LCM of 258, 242, 744, 816?

Answer: LCM of 258, 242, 744, 816 is 131615088.

2. How to calculate the LCM of 258, 242, 744, 816?

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 258, 242, 744, 816.

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}.