Given numbers are 516,225,478,346

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

The LCM of 516,225,478,346 is 1600128900.

Find LCM of 516,225,478,346 with Prime Factorization

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

2 x 3 x 86 x 75 x 239 x 173 = 1600128900

Therefore, the lowest common multiple of 516,225,478,346 is 1600128900.

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.

516 x 225 x 478 x 346 = 19201546800

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

478 : 1, 2, 239, 478

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,225,478,346, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

225:3x 3x 5x 5

478:2x 239

346:2x 173

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 3 = 12

Therefore, the value for common factors is 12.

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 = 19201546800/(1x12)

LCM = 19201546800/12

LCM = 1600128900

Thus, we can understand that the LCM of 516,225,478,346 is 1600128900.

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

• LCM of 723, 106, 975, 188
• LCM of 825, 130, 814, 712
• LCM of 102, 904, 988, 545
• LCM of 273, 688, 852, 965
• LCM of 855, 631, 408, 426

1. What is the LCM of 516, 225, 478, 346?

Answer: LCM of 516, 225, 478, 346 is 1600128900.

2. How to calculate the LCM of 516, 225, 478, 346?

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 516, 225, 478, 346.

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}.