Given numbers are 282,846,393,690,271

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

The LCM of 282,846,393,690,271 is 3453892290.

Find LCM of 282,846,393,690,271 with Prime Factorization

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

2 x 3 x 47 x 1 x 3 x 131 x 115 x 271 = 3453892290

Therefore, the lowest common multiple of 282,846,393,690,271 is 3453892290.

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 846 x 393 x 690 x 271 = 17531957264040

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

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

393 : 1, 3, 131, 393

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,846,393,690,271, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

846:2x 3x 3x 47

393:3x 131

690:2x 3x 5x 23

271:271

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 3x 3x 3x 47 = 5076

Therefore, the value for common factors is 5076.

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 = 17531957264040/(1x5076)

LCM = 17531957264040/5076

LCM = 3453892290

Thus, we can understand that the LCM of 282,846,393,690,271 is 3453892290.

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

• LCM of 269, 345, 149, 612, 860
• LCM of 537, 311, 291, 112, 940
• LCM of 412, 778, 972, 732, 994
• LCM of 246, 364, 767, 442, 410
• LCM of 571, 527, 403, 860, 462

1. What is the LCM of 282, 846, 393, 690, 271?

Answer: LCM of 282, 846, 393, 690, 271 is 3453892290.

2. How to calculate the LCM of 282, 846, 393, 690, 271?

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, 846, 393, 690, 271.

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}.