Given numbers are 756,674,616,884

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

The LCM of 756,674,616,884 is 1238701464.

Find LCM of 756,674,616,884 with Prime Factorization

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

2 x 2 x 7 x 27 x 337 x 22 x 221 = 1238701464

Therefore, the lowest common multiple of 756,674,616,884 is 1238701464.

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 674 x 616 x 884 = 277469127936

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

674 : 1, 2, 337, 674

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,674,616,884, is 2.

Now, the common factors can be found like this.

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

674:2x 337

616:2x 2x 2x 7x 11

884:2x 2x 13x 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 7 = 112

Therefore, the value for common factors is 112.

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 = 277469127936/(2x112)

LCM = 277469127936/224

LCM = 1238701464

Thus, we can understand that the LCM of 756,674,616,884 is 1238701464.

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

• LCM of 815, 497, 551, 255
• LCM of 625, 359, 911, 233
• LCM of 466, 668, 370, 928
• LCM of 374, 326, 194, 841
• LCM of 283, 977, 714, 897

1. What is the LCM of 756, 674, 616, 884?

Answer: LCM of 756, 674, 616, 884 is 1238701464.

2. How to calculate the LCM of 756, 674, 616, 884?

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, 674, 616, 884.

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}.