Given numbers are 343,493,689,169

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

The LCM of 343,493,689,169 is 1514619743.

Find LCM of 343,493,689,169 with Prime Factorization

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

13 x 343 x 493 x 53 x 13 = 1514619743

Therefore, the lowest common multiple of 343,493,689,169 is 1514619743.

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.

343 x 493 x 689 x 169 = 19690056659

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.

343 : 1, 7, 49, 343

493 : 1, 17, 29, 493

689 : 1, 13, 53, 689

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,493,689,169, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

493:17x 29

689:13x 53

169:13x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 19690056659/(1x13)

LCM = 19690056659/13

LCM = 1514619743

Thus, we can understand that the LCM of 343,493,689,169 is 1514619743.

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

• LCM of 335, 285, 913, 660
• LCM of 593, 970, 729, 138
• LCM of 683, 515, 260, 164
• LCM of 733, 673, 645, 343
• LCM of 974, 890, 786, 328

1. What is the LCM of 343, 493, 689, 169?

Answer: LCM of 343, 493, 689, 169 is 1514619743.

2. How to calculate the LCM of 343, 493, 689, 169?

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 343, 493, 689, 169.

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}.