Given numbers are 282,312,213,973

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

The LCM of 282,312,213,973 is 1013033112.

Find LCM of 282,312,213,973 with Prime Factorization

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

2 x 3 x 47 x 52 x 71 x 973 = 1013033112

Therefore, the lowest common multiple of 282,312,213,973 is 1013033112.

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 312 x 213 x 973 = 18234596016

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

213 : 1, 3, 71, 213

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,312,213,973, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

312:2x 2x 2x 3x 13

213:3x 71

973:7x 139

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 18234596016/(1x18)

LCM = 18234596016/18

LCM = 1013033112

Thus, we can understand that the LCM of 282,312,213,973 is 1013033112.

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

• LCM of 631, 212, 634, 971
• LCM of 462, 144, 293, 514
• LCM of 319, 615, 824, 607
• LCM of 171, 266, 339, 280
• LCM of 390, 875, 601, 132

1. What is the LCM of 282, 312, 213, 973?

Answer: LCM of 282, 312, 213, 973 is 1013033112.

2. How to calculate the LCM of 282, 312, 213, 973?

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, 312, 213, 973.

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}.