Given numbers are 275,921,120,828,410

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

The LCM of 275,921,120,828,410 is 5732119800.

Find LCM of 275,921,120,828,410 with Prime Factorization

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

2 x 2 x 3 x 5 x 55 x 307 x 2 x 69 x 41 = 5732119800

Therefore, the lowest common multiple of 275,921,120,828,410 is 5732119800.

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.

275 x 921 x 120 x 828 x 410 = 10317815640000

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.

275 : 1, 5, 11, 25, 55, 275

921 : 1, 3, 307, 921

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,921,120,828,410, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

921:3x 307

120:2x 2x 2x 3x 5

828:2x 2x 3x 3x 23

410:2x 5x 41

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

2x 2x 2x 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 10317815640000/(1x1800)

LCM = 10317815640000/1800

LCM = 5732119800

Thus, we can understand that the LCM of 275,921,120,828,410 is 5732119800.

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

• LCM of 464, 668, 283, 300, 978
• LCM of 268, 778, 279, 145, 921
• LCM of 815, 145, 771, 716, 961
• LCM of 191, 394, 384, 613, 769
• LCM of 660, 356, 109, 362, 470

1. What is the LCM of 275, 921, 120, 828, 410?

Answer: LCM of 275, 921, 120, 828, 410 is 5732119800.

2. How to calculate the LCM of 275, 921, 120, 828, 410?

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 275, 921, 120, 828, 410.

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}.