Given numbers are 697,704,338

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

The LCM of 697,704,338 is 82926272.

Find LCM of 697,704,338 with Prime Factorization

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

2 x 697 x 352 x 169 = 82926272

Therefore, the lowest common multiple of 697,704,338 is 82926272.

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.

697 x 704 x 338 = 165852544

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.

697 : 1, 17, 41, 697

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,704,338, is 1.

Now, the common factors can be found like this.

697:17x 41

704:2x 2x 2x 2x 2x 2x 11

338:2x 13x 13

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 = 165852544/(1x2)

LCM = 165852544/2

LCM = 82926272

Thus, we can understand that the LCM of 697,704,338 is 82926272.

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

• LCM of 393, 686, 267
• LCM of 696, 985, 146
• LCM of 275, 223, 385
• LCM of 384, 956, 685
• LCM of 626, 321, 715

1. What is the LCM of 697, 704, 338?

Answer: LCM of 697, 704, 338 is 82926272.

2. How to calculate the LCM of 697, 704, 338?

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 697, 704, 338.

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}.