Given numbers are 268,203,389,282,430

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

The LCM of 268,203,389,282,430 is 641561074140.

Find LCM of 268,203,389,282,430 with Prime Factorization

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

2 x 134 x 203 x 389 x 141 x 215 = 641561074140

Therefore, the lowest common multiple of 268,203,389,282,430 is 641561074140.

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.

268 x 203 x 389 x 282 x 430 = 2566244296560

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.

268 : 1, 2, 4, 67, 134, 268

203 : 1, 7, 29, 203

389 : 1, 389

282 : 1, 2, 3, 6, 47, 94, 141, 282

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,203,389,282,430, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

203:7x 29

389:389

282:2x 3x 47

430:2x 5x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2566244296560/(1x4)

LCM = 2566244296560/4

LCM = 641561074140

Thus, we can understand that the LCM of 268,203,389,282,430 is 641561074140.

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

• LCM of 584, 863, 944, 190, 929
• LCM of 106, 372, 588, 490, 280
• LCM of 112, 438, 105, 670, 795
• LCM of 643, 610, 669, 781, 978
• LCM of 404, 611, 351, 270, 730

1. What is the LCM of 268, 203, 389, 282, 430?

Answer: LCM of 268, 203, 389, 282, 430 is 641561074140.

2. How to calculate the LCM of 268, 203, 389, 282, 430?

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 268, 203, 389, 282, 430.

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}.