Given numbers are 493,670,377,117

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

The LCM of 493,670,377,117 is 38646270.

Find LCM of 493,670,377,117 with Prime Factorization

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

13 x 29 x 17 x 670 x 1 x 9 = 38646270

Therefore, the lowest common multiple of 493,670,377,117 is 38646270.

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.

493 x 670 x 377 x 117 = 14569643790

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.

493 : 1, 17, 29, 493

670 : 1, 2, 5, 10, 67, 134, 335, 670

377 : 1, 13, 29, 377

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,670,377,117, is 1.

Now, the common factors can be found like this.

493:17x 29

670:2x 5x 67

377:13x 29

117:3x 3x 13

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

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 14569643790/(1x377)

LCM = 14569643790/377

LCM = 38646270

Thus, we can understand that the LCM of 493,670,377,117 is 38646270.

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

• LCM of 407, 931, 643, 309
• LCM of 351, 835, 423, 843
• LCM of 478, 816, 145, 808
• LCM of 429, 521, 209, 268
• LCM of 280, 265, 374, 259

1. What is the LCM of 493, 670, 377, 117?

Answer: LCM of 493, 670, 377, 117 is 38646270.

2. How to calculate the LCM of 493, 670, 377, 117?

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 493, 670, 377, 117.

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}.