Given numbers are 235,714,350,460,724

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

The LCM of 235,714,350,460,724 is 6985097700.

Find LCM of 235,714,350,460,724 with Prime Factorization

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

2 x 2 x 5 x 7 x 47 x 51 x 5 x 23 x 181 = 6985097700

Therefore, the lowest common multiple of 235,714,350,460,724 is 6985097700.

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.

235 x 714 x 350 x 460 x 724 = 19558273560000

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.

235 : 1, 5, 47, 235

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,714,350,460,724, is 1.

Now, the common factors can be found like this.

235:5x 47

714:2x 3x 7x 17

350:2x 5x 5x 7

460:2x 2x 5x 23

724:2x 2x 181

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 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 19558273560000/(1x2800)

LCM = 19558273560000/2800

LCM = 6985097700

Thus, we can understand that the LCM of 235,714,350,460,724 is 6985097700.

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

• LCM of 775, 822, 985, 994, 590
• LCM of 400, 501, 596, 411, 416
• LCM of 951, 287, 571, 518, 543
• LCM of 157, 266, 978, 885, 106
• LCM of 330, 109, 458, 683, 842

1. What is the LCM of 235, 714, 350, 460, 724?

Answer: LCM of 235, 714, 350, 460, 724 is 6985097700.

2. How to calculate the LCM of 235, 714, 350, 460, 724?

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 235, 714, 350, 460, 724.

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}.