Given numbers are 407,148,253,296

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

The LCM of 407,148,253,296 is 74888.

Find LCM of 407,148,253,296 with Prime Factorization

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

2 x 2 x 11 x 37 x 1 x 1 x 23 x 2 = 74888

Therefore, the lowest common multiple of 407,148,253,296 is 74888.

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.

407 x 148 x 253 x 296 = 4510953568

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.

407 : 1, 11, 37, 407

148 : 1, 2, 4, 37, 74, 148

253 : 1, 11, 23, 253

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,148,253,296, is 1.

Now, the common factors can be found like this.

407:11x 37

148:2x 2x 37

253:11x 23

296:2x 2x 2x 37

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 11x 37x 37 = 60236

Therefore, the value for common factors is 60236.

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 = 4510953568/(1x60236)

LCM = 4510953568/60236

LCM = 74888

Thus, we can understand that the LCM of 407,148,253,296 is 74888.

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

• LCM of 852, 158, 902, 658
• LCM of 791, 673, 111, 111
• LCM of 792, 653, 229, 225
• LCM of 122, 470, 566, 995
• LCM of 874, 626, 951, 399

1. What is the LCM of 407, 148, 253, 296?

Answer: LCM of 407, 148, 253, 296 is 74888.

2. How to calculate the LCM of 407, 148, 253, 296?

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 407, 148, 253, 296.

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}.