Given numbers are 230,684,762,798,918

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

The LCM of 230,684,762,798,918 is 3566365740.

Find LCM of 230,684,762,798,918 with Prime Factorization

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

2 x 3 x 3 x 19 x 115 x 2 x 127 x 7 x 51 = 3566365740

Therefore, the lowest common multiple of 230,684,762,798,918 is 3566365740.

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 684 x 762 x 798 x 918 = 87818189981760

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

762 : 1, 2, 3, 6, 127, 254, 381, 762

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,684,762,798,918, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

684:2x 2x 3x 3x 19

762:2x 3x 127

798:2x 3x 7x 19

918:2x 3x 3x 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 3x 3x 3x 3x 19 = 12312

Therefore, the value for common factors is 12312.

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 = 87818189981760/(2x12312)

LCM = 87818189981760/24624

LCM = 3566365740

Thus, we can understand that the LCM of 230,684,762,798,918 is 3566365740.

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

• LCM of 328, 529, 716, 999, 586
• LCM of 191, 119, 103, 154, 970
• LCM of 867, 419, 382, 967, 289
• LCM of 174, 790, 351, 983, 971
• LCM of 119, 810, 496, 791, 499

1. What is the LCM of 230, 684, 762, 798, 918?

Answer: LCM of 230, 684, 762, 798, 918 is 3566365740.

2. How to calculate the LCM of 230, 684, 762, 798, 918?

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, 684, 762, 798, 918.

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}.