Given numbers are 230,281,121,634,744

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

The LCM of 230,281,121,634,744 is 922192802520.

Find LCM of 230,281,121,634,744 with Prime Factorization

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

2 x 115 x 281 x 121 x 317 x 372 = 922192802520

Therefore, the lowest common multiple of 230,281,121,634,744 is 922192802520.

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.

230 x 281 x 121 x 634 x 744 = 3688771210080

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

281 : 1, 281

121 : 1, 11, 121

634 : 1, 2, 317, 634

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,281,121,634,744, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

281:281

121:11x 11

634:2x 317

744:2x 2x 2x 3x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3688771210080/(1x4)

LCM = 3688771210080/4

LCM = 922192802520

Thus, we can understand that the LCM of 230,281,121,634,744 is 922192802520.

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

• LCM of 807, 569, 560, 355, 638
• LCM of 990, 321, 377, 860, 378
• LCM of 833, 598, 247, 963, 118
• LCM of 283, 391, 858, 947, 717
• LCM of 116, 710, 420, 490, 760

1. What is the LCM of 230, 281, 121, 634, 744?

Answer: LCM of 230, 281, 121, 634, 744 is 922192802520.

2. How to calculate the LCM of 230, 281, 121, 634, 744?

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 230, 281, 121, 634, 744.

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}.