Given numbers are 269,293,689,221

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

The LCM of 269,293,689,221 is 923183521.

Find LCM of 269,293,689,221 with Prime Factorization

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

13 x 269 x 293 x 53 x 17 = 923183521

Therefore, the lowest common multiple of 269,293,689,221 is 923183521.

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.

269 x 293 x 689 x 221 = 12001385773

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.

269 : 1, 269

293 : 1, 293

689 : 1, 13, 53, 689

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,293,689,221, is 1.

Now, the common factors can be found like this.

269:269

293:293

689:13x 53

221:13x 17

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

13 = 13

Therefore, the value for common factors is 13.

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 = 12001385773/(1x13)

LCM = 12001385773/13

LCM = 923183521

Thus, we can understand that the LCM of 269,293,689,221 is 923183521.

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

• LCM of 233, 939, 657, 198
• LCM of 602, 998, 646, 102
• LCM of 597, 666, 742, 802
• LCM of 529, 824, 994, 137
• LCM of 509, 559, 495, 906

1. What is the LCM of 269, 293, 689, 221?

Answer: LCM of 269, 293, 689, 221 is 923183521.

2. How to calculate the LCM of 269, 293, 689, 221?

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 269, 293, 689, 221.

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}.