Given numbers are 756,272,884,102

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

The LCM of 756,272,884,102 is 668304.

Find LCM of 756,272,884,102 with Prime Factorization

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

2 x 2 x 3 x 17 x 63 x 4 x 13 x 1 = 668304

Therefore, the lowest common multiple of 756,272,884,102 is 668304.

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.

756 x 272 x 884 x 102 = 18541426176

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

102 : 1, 2, 3, 6, 17, 34, 51, 102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,272,884,102, is 2.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

272:2x 2x 2x 2x 17

884:2x 2x 13x 17

102:2x 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 17x 17 = 13872

Therefore, the value for common factors is 13872.

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 = 18541426176/(2x13872)

LCM = 18541426176/27744

LCM = 668304

Thus, we can understand that the LCM of 756,272,884,102 is 668304.

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

• LCM of 492, 718, 395, 137
• LCM of 213, 371, 903, 223
• LCM of 954, 549, 784, 201
• LCM of 983, 602, 728, 451
• LCM of 564, 829, 465, 559

1. What is the LCM of 756, 272, 884, 102?

Answer: LCM of 756, 272, 884, 102 is 668304.

2. How to calculate the LCM of 756, 272, 884, 102?

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 756, 272, 884, 102.

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}.