Given numbers are 282,229,174,420,350

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

The LCM of 282,229,174,420,350 is 655466700.

Find LCM of 282,229,174,420,350 with Prime Factorization

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

2 x 3 x 5 x 7 x 47 x 229 x 29 x 2 x 5 = 655466700

Therefore, the lowest common multiple of 282,229,174,420,350 is 655466700.

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 229 x 174 x 420 x 350 = 1651776084000

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

229 : 1, 229

174 : 1, 2, 3, 6, 29, 58, 87, 174

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,229,174,420,350, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

229:229

174:2x 3x 29

420:2x 2x 3x 5x 7

350:2x 5x 5x 7

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 3x 3x 5x 7 = 2520

Therefore, the value for common factors is 2520.

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 = 1651776084000/(1x2520)

LCM = 1651776084000/2520

LCM = 655466700

Thus, we can understand that the LCM of 282,229,174,420,350 is 655466700.

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

• LCM of 140, 675, 847, 608, 780
• LCM of 964, 538, 200, 613, 758
• LCM of 951, 114, 584, 106, 371
• LCM of 830, 936, 519, 428, 299
• LCM of 849, 167, 173, 817, 124

1. What is the LCM of 282, 229, 174, 420, 350?

Answer: LCM of 282, 229, 174, 420, 350 is 655466700.

2. How to calculate the LCM of 282, 229, 174, 420, 350?

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, 229, 174, 420, 350.

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}.