Given numbers are 338,451,749,614

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

The LCM of 338,451,749,614 is 35052051034.

Find LCM of 338,451,749,614 with Prime Factorization

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

2 x 169 x 451 x 749 x 307 = 35052051034

Therefore, the lowest common multiple of 338,451,749,614 is 35052051034.

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.

338 x 451 x 749 x 614 = 70104102068

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.

338 : 1, 2, 13, 26, 169, 338

451 : 1, 11, 41, 451

749 : 1, 7, 107, 749

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,451,749,614, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

451:11x 41

749:7x 107

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 70104102068/(1x2)

LCM = 70104102068/2

LCM = 35052051034

Thus, we can understand that the LCM of 338,451,749,614 is 35052051034.

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

• LCM of 366, 376, 577, 476
• LCM of 947, 523, 390, 453
• LCM of 732, 860, 602, 102
• LCM of 755, 619, 673, 850
• LCM of 996, 364, 142, 354

1. What is the LCM of 338, 451, 749, 614?

Answer: LCM of 338, 451, 749, 614 is 35052051034.

2. How to calculate the LCM of 338, 451, 749, 614?

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 338, 451, 749, 614.

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}.