Given numbers are 738,509,338,157,421

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

The LCM of 738,509,338,157,421 is 4196068767306.

Find LCM of 738,509,338,157,421 with Prime Factorization

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

2 x 369 x 509 x 169 x 157 x 421 = 4196068767306

Therefore, the lowest common multiple of 738,509,338,157,421 is 4196068767306.

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.

738 x 509 x 338 x 157 x 421 = 8392137534612

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

509 : 1, 509

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

157 : 1, 157

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,509,338,157,421, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

509:509

338:2x 13x 13

157:157

421:421

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 = 8392137534612/(1x2)

LCM = 8392137534612/2

LCM = 4196068767306

Thus, we can understand that the LCM of 738,509,338,157,421 is 4196068767306.

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

• LCM of 250, 580, 970, 841, 299
• LCM of 326, 274, 376, 164, 876
• LCM of 657, 608, 785, 346, 824
• LCM of 557, 933, 720, 848, 142
• LCM of 645, 533, 875, 158, 920

1. What is the LCM of 738, 509, 338, 157, 421?

Answer: LCM of 738, 509, 338, 157, 421 is 4196068767306.

2. How to calculate the LCM of 738, 509, 338, 157, 421?

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 738, 509, 338, 157, 421.

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}.