Given numbers are 293,969,792

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

The LCM of 293,969,792 is 74954088.

Find LCM of 293,969,792 with Prime Factorization

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

3 x 293 x 323 x 264 = 74954088

Therefore, the lowest common multiple of 293,969,792 is 74954088.

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.

293 x 969 x 792 = 224862264

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.

293 : 1, 293

969 : 1, 3, 17, 19, 51, 57, 323, 969

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,969,792, is 1.

Now, the common factors can be found like this.

293:293

969:3x 17x 19

792:2x 2x 2x 3x 3x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 224862264/(1x3)

LCM = 224862264/3

LCM = 74954088

Thus, we can understand that the LCM of 293,969,792 is 74954088.

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

• LCM of 888, 832, 245
• LCM of 385, 112, 970
• LCM of 595, 622, 175
• LCM of 220, 601, 666
• LCM of 991, 148, 333

1. What is the LCM of 293, 969, 792?

Answer: LCM of 293, 969, 792 is 74954088.

2. How to calculate the LCM of 293, 969, 792?

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 293, 969, 792.

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}.