Given numbers are 282,140,514,159

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

The LCM of 282,140,514,159 is 268878540.

Find LCM of 282,140,514,159 with Prime Factorization

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

2 x 3 x 47 x 70 x 257 x 53 = 268878540

Therefore, the lowest common multiple of 282,140,514,159 is 268878540.

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.

282 x 140 x 514 x 159 = 3226542480

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.

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

514 : 1, 2, 257, 514

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,140,514,159, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

140:2x 2x 5x 7

514:2x 257

159:3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 3226542480/(1x12)

LCM = 3226542480/12

LCM = 268878540

Thus, we can understand that the LCM of 282,140,514,159 is 268878540.

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

• LCM of 983, 705, 178, 477
• LCM of 760, 465, 843, 454
• LCM of 573, 308, 200, 995
• LCM of 192, 506, 923, 431
• LCM of 950, 274, 658, 255

1. What is the LCM of 282, 140, 514, 159?

Answer: LCM of 282, 140, 514, 159 is 268878540.

2. How to calculate the LCM of 282, 140, 514, 159?

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 282, 140, 514, 159.

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}.