Given numbers are 291,258,190,210,990

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

The LCM of 291,258,190,210,990 is 549195570.

Find LCM of 291,258,190,210,990 with Prime Factorization

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

2 x 3 x 5 x 97 x 43 x 19 x 7 x 33 = 549195570

Therefore, the lowest common multiple of 291,258,190,210,990 is 549195570.

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.

291 x 258 x 190 x 210 x 990 = 2965656078000

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.

291 : 1, 3, 97, 291

258 : 1, 2, 3, 6, 43, 86, 129, 258

190 : 1, 2, 5, 10, 19, 38, 95, 190

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,258,190,210,990, is 1.

Now, the common factors can be found like this.

291:3x 97

258:2x 3x 43

190:2x 5x 19

210:2x 3x 5x 7

990:2x 3x 3x 5x 11

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 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 2965656078000/(1x5400)

LCM = 2965656078000/5400

LCM = 549195570

Thus, we can understand that the LCM of 291,258,190,210,990 is 549195570.

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

• LCM of 114, 182, 314, 899, 996
• LCM of 275, 555, 838, 537, 232
• LCM of 739, 532, 220, 935, 401
• LCM of 769, 375, 603, 449, 250
• LCM of 969, 742, 593, 944, 954

1. What is the LCM of 291, 258, 190, 210, 990?

Answer: LCM of 291, 258, 190, 210, 990 is 549195570.

2. How to calculate the LCM of 291, 258, 190, 210, 990?

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 291, 258, 190, 210, 990.

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}.