Given numbers are 138,203,382,749

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

The LCM of 138,203,382,749 is 572522118.

Find LCM of 138,203,382,749 with Prime Factorization

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

2 x 7 x 69 x 29 x 191 x 107 = 572522118

Therefore, the lowest common multiple of 138,203,382,749 is 572522118.

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.

138 x 203 x 382 x 749 = 8015309652

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.

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

203 : 1, 7, 29, 203

382 : 1, 2, 191, 382

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,203,382,749, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

203:7x 29

382:2x 191

749:7x 107

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 8015309652/(1x14)

LCM = 8015309652/14

LCM = 572522118

Thus, we can understand that the LCM of 138,203,382,749 is 572522118.

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

• LCM of 700, 760, 134, 207
• LCM of 383, 786, 222, 971
• LCM of 877, 152, 168, 670
• LCM of 639, 620, 340, 208
• LCM of 710, 957, 186, 664

1. What is the LCM of 138, 203, 382, 749?

Answer: LCM of 138, 203, 382, 749 is 572522118.

2. How to calculate the LCM of 138, 203, 382, 749?

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 138, 203, 382, 749.

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}.