Given numbers are 756,616,214,121,508

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

The LCM of 756,616,214,121,508 is 2486134728.

Find LCM of 756,616,214,121,508 with Prime Factorization

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

2 x 2 x 7 x 11 x 27 x 2 x 107 x 11 x 127 = 2486134728

Therefore, the lowest common multiple of 756,616,214,121,508 is 2486134728.

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 616 x 214 x 121 x 508 = 6125835969792

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

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

214 : 1, 2, 107, 214

121 : 1, 11, 121

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,616,214,121,508, is 1.

Now, the common factors can be found like this.

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

616:2x 2x 2x 7x 11

214:2x 107

121:11x 11

508:2x 2x 127

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 2x 7x 11 = 2464

Therefore, the value for common factors is 2464.

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 = 6125835969792/(1x2464)

LCM = 6125835969792/2464

LCM = 2486134728

Thus, we can understand that the LCM of 756,616,214,121,508 is 2486134728.

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

• LCM of 567, 151, 326, 659, 581
• LCM of 415, 537, 805, 263, 809
• LCM of 440, 256, 726, 610, 128
• LCM of 213, 428, 639, 613, 786
• LCM of 115, 766, 275, 114, 155

1. What is the LCM of 756, 616, 214, 121, 508?

Answer: LCM of 756, 616, 214, 121, 508 is 2486134728.

2. How to calculate the LCM of 756, 616, 214, 121, 508?

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, 616, 214, 121, 508.

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}.