Given numbers are 494,209,769

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

The LCM of 494,209,769 is 4178746.

Find LCM of 494,209,769 with Prime Factorization

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

19 x 26 x 11 x 769 = 4178746

Therefore, the lowest common multiple of 494,209,769 is 4178746.

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.

494 x 209 x 769 = 79396174

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

209 : 1, 11, 19, 209

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,209,769, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

209:11x 19

769:769

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

19 = 19

Therefore, the value for common factors is 19.

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 = 79396174/(1x19)

LCM = 79396174/19

LCM = 4178746

Thus, we can understand that the LCM of 494,209,769 is 4178746.

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

• LCM of 169, 814, 501
• LCM of 172, 298, 629
• LCM of 886, 737, 187
• LCM of 902, 413, 547
• LCM of 942, 693, 298

1. What is the LCM of 494, 209, 769?

Answer: LCM of 494, 209, 769 is 4178746.

2. How to calculate the LCM of 494, 209, 769?

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 494, 209, 769.

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}.