Given numbers are 218,749,138,752

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

The LCM of 218,749,138,752 is 4236188208.

Find LCM of 218,749,138,752 with Prime Factorization

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

2 x 109 x 749 x 69 x 376 = 4236188208

Therefore, the lowest common multiple of 218,749,138,752 is 4236188208.

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.

218 x 749 x 138 x 752 = 16944752832

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.

218 : 1, 2, 109, 218

749 : 1, 7, 107, 749

138 : 1, 2, 3, 6, 23, 46, 69, 138

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,749,138,752, is 1.

Now, the common factors can be found like this.

218:2x 109

749:7x 107

138:2x 3x 23

752:2x 2x 2x 2x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16944752832/(1x4)

LCM = 16944752832/4

LCM = 4236188208

Thus, we can understand that the LCM of 218,749,138,752 is 4236188208.

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

• LCM of 785, 905, 263, 445
• LCM of 598, 632, 451, 254
• LCM of 320, 264, 210, 465
• LCM of 392, 963, 867, 988
• LCM of 690, 657, 925, 405

1. What is the LCM of 218, 749, 138, 752?

Answer: LCM of 218, 749, 138, 752 is 4236188208.

2. How to calculate the LCM of 218, 749, 138, 752?

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 218, 749, 138, 752.

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}.