Given numbers are 921,375,460,116,424

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

The LCM of 921,375,460,116,424 is 32558271000.

Find LCM of 921,375,460,116,424 with Prime Factorization

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

2 x 2 x 3 x 5 x 307 x 25 x 23 x 29 x 106 = 32558271000

Therefore, the lowest common multiple of 921,375,460,116,424 is 32558271000.

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.

921 x 375 x 460 x 116 x 424 = 7813985040000

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.

921 : 1, 3, 307, 921

375 : 1, 3, 5, 15, 25, 75, 125, 375

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

116 : 1, 2, 4, 29, 58, 116

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,375,460,116,424, is 1.

Now, the common factors can be found like this.

921:3x 307

375:3x 5x 5x 5

460:2x 2x 5x 23

116:2x 2x 29

424:2x 2x 2x 53

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 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 7813985040000/(1x240)

LCM = 7813985040000/240

LCM = 32558271000

Thus, we can understand that the LCM of 921,375,460,116,424 is 32558271000.

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

• LCM of 524, 280, 606, 316, 939
• LCM of 252, 239, 755, 170, 159
• LCM of 997, 110, 426, 735, 666
• LCM of 295, 237, 256, 822, 760
• LCM of 879, 640, 535, 977, 101

1. What is the LCM of 921, 375, 460, 116, 424?

Answer: LCM of 921, 375, 460, 116, 424 is 32558271000.

2. How to calculate the LCM of 921, 375, 460, 116, 424?

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 921, 375, 460, 116, 424.

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}.