Given numbers are 628,616,713,756

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

The LCM of 628,616,713,756 is 1861802712.

Find LCM of 628,616,713,756 with Prime Factorization

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

2 x 2 x 7 x 157 x 22 x 713 x 27 = 1861802712

Therefore, the lowest common multiple of 628,616,713,756 is 1861802712.

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.

628 x 616 x 713 x 756 = 208521903744

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.

628 : 1, 2, 4, 157, 314, 628

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

713 : 1, 23, 31, 713

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,616,713,756, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

616:2x 2x 2x 7x 11

713:23x 31

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

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 = 208521903744/(1x112)

LCM = 208521903744/112

LCM = 1861802712

Thus, we can understand that the LCM of 628,616,713,756 is 1861802712.

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

• LCM of 841, 868, 659, 958
• LCM of 730, 903, 164, 695
• LCM of 498, 713, 352, 588
• LCM of 803, 427, 835, 832
• LCM of 994, 530, 275, 464

1. What is the LCM of 628, 616, 713, 756?

Answer: LCM of 628, 616, 713, 756 is 1861802712.

2. How to calculate the LCM of 628, 616, 713, 756?

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 628, 616, 713, 756.

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}.