Given numbers are 414,124,373,296

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

The LCM of 414,124,373,296 is 708488136.

Find LCM of 414,124,373,296 with Prime Factorization

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

2 x 2 x 207 x 31 x 373 x 74 = 708488136

Therefore, the lowest common multiple of 414,124,373,296 is 708488136.

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.

414 x 124 x 373 x 296 = 5667905088

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

124 : 1, 2, 4, 31, 62, 124

373 : 1, 373

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 414,124,373,296, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

124:2x 2x 31

373:373

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5667905088/(1x8)

LCM = 5667905088/8

LCM = 708488136

Thus, we can understand that the LCM of 414,124,373,296 is 708488136.

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

• LCM of 267, 143, 357, 163
• LCM of 467, 742, 408, 468
• LCM of 940, 169, 903, 100
• LCM of 142, 946, 479, 770
• LCM of 620, 988, 178, 312

1. What is the LCM of 414, 124, 373, 296?

Answer: LCM of 414, 124, 373, 296 is 708488136.

2. How to calculate the LCM of 414, 124, 373, 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 414, 124, 373, 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}.