Given numbers are 221,240,190,961

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

The LCM of 221,240,190,961 is 968457360.

Find LCM of 221,240,190,961 with Prime Factorization

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

2 x 5 x 221 x 24 x 19 x 961 = 968457360

Therefore, the lowest common multiple of 221,240,190,961 is 968457360.

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.

221 x 240 x 190 x 961 = 9684573600

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.

221 : 1, 13, 17, 221

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,240,190,961, is 1.

Now, the common factors can be found like this.

221:13x 17

240:2x 2x 2x 2x 3x 5

190:2x 5x 19

961:31x 31

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 9684573600/(1x10)

LCM = 9684573600/10

LCM = 968457360

Thus, we can understand that the LCM of 221,240,190,961 is 968457360.

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

• LCM of 601, 914, 643, 695
• LCM of 704, 123, 885, 876
• LCM of 501, 259, 355, 284
• LCM of 589, 679, 117, 325
• LCM of 253, 761, 251, 882

1. What is the LCM of 221, 240, 190, 961?

Answer: LCM of 221, 240, 190, 961 is 968457360.

2. How to calculate the LCM of 221, 240, 190, 961?

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 221, 240, 190, 961.

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}.