Given numbers are 474,412,762,345

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

The LCM of 474,412,762,345 is 1426090620.

Find LCM of 474,412,762,345 with Prime Factorization

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

2 x 3 x 79 x 206 x 127 x 115 = 1426090620

Therefore, the lowest common multiple of 474,412,762,345 is 1426090620.

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.

474 x 412 x 762 x 345 = 51339262320

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

412 : 1, 2, 4, 103, 206, 412

762 : 1, 2, 3, 6, 127, 254, 381, 762

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,412,762,345, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

412:2x 2x 103

762:2x 3x 127

345:3x 5x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 51339262320/(1x36)

LCM = 51339262320/36

LCM = 1426090620

Thus, we can understand that the LCM of 474,412,762,345 is 1426090620.

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

• LCM of 972, 676, 111, 456
• LCM of 713, 899, 340, 292
• LCM of 398, 392, 402, 685
• LCM of 544, 333, 447, 924
• LCM of 845, 255, 747, 687

1. What is the LCM of 474, 412, 762, 345?

Answer: LCM of 474, 412, 762, 345 is 1426090620.

2. How to calculate the LCM of 474, 412, 762, 345?

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 474, 412, 762, 345.

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}.