Given numbers are 345,621,769,452,609

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

The LCM of 345,621,769,452,609 is 219089930220.

Find LCM of 345,621,769,452,609 with Prime Factorization

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

3 x 23 x 5 x 9 x 769 x 452 x 203 = 219089930220

Therefore, the lowest common multiple of 345,621,769,452,609 is 219089930220.

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.

345 x 621 x 769 x 452 x 609 = 45351615555540

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

621 : 1, 3, 9, 23, 27, 69, 207, 621

769 : 1, 769

452 : 1, 2, 4, 113, 226, 452

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,621,769,452,609, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

621:3x 3x 3x 23

769:769

452:2x 2x 113

609:3x 7x 29

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 45351615555540/(1x207)

LCM = 45351615555540/207

LCM = 219089930220

Thus, we can understand that the LCM of 345,621,769,452,609 is 219089930220.

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

• LCM of 158, 705, 389, 124, 163
• LCM of 857, 987, 337, 732, 228
• LCM of 346, 107, 169, 826, 858
• LCM of 567, 903, 390, 157, 788
• LCM of 519, 551, 241, 958, 909

1. What is the LCM of 345, 621, 769, 452, 609?

Answer: LCM of 345, 621, 769, 452, 609 is 219089930220.

2. How to calculate the LCM of 345, 621, 769, 452, 609?

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 345, 621, 769, 452, 609.

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}.