Given numbers are 282,10,470

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

The LCM of 282,10,470 is 1410.

Find LCM of 282,10,470 with Prime Factorization

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

2 x 5 x 47 x 3 x 1 x 1 = 1410

Therefore, the lowest common multiple of 282,10,470 is 1410.

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 10 x 470 = 1325400

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

10 : 1, 2, 5, 10

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,10,470, is 2.

Now, the common factors can be found like this.

282:2x 3x 47

10:2x 5

470:2x 5x 47

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

2x 5x 47 = 470

Therefore, the value for common factors is 470.

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 = 1325400/(2x470)

LCM = 1325400/940

LCM = 1410

Thus, we can understand that the LCM of 282,10,470 is 1410.

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

• LCM of 127, 78, 755
• LCM of 269, 34, 917
• LCM of 490, 46, 583
• LCM of 756, 33, 271
• LCM of 339, 41, 296

1. What is the LCM of 282, 10, 470?

Answer: LCM of 282, 10, 470 is 1410.

2. How to calculate the LCM of 282, 10, 470?

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, 10, 470.

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}.