Given numbers are 434,688,400,516

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

The LCM of 434,688,400,516 is 11197200.

Find LCM of 434,688,400,516 with Prime Factorization

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

2 x 2 x 2 x 2 x 43 x 217 x 1 x 25 x 3 = 11197200

Therefore, the lowest common multiple of 434,688,400,516 is 11197200.

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.

434 x 688 x 400 x 516 = 61629388800

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,688,400,516, is 2.

Now, the common factors can be found like this.

434:2x 7x 31

688:2x 2x 2x 2x 43

400:2x 2x 2x 2x 5x 5

516:2x 2x 3x 43

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 2x 2x 2x 2x 43 = 2752

Therefore, the value for common factors is 2752.

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 = 61629388800/(2x2752)

LCM = 61629388800/5504

LCM = 11197200

Thus, we can understand that the LCM of 434,688,400,516 is 11197200.

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

• LCM of 979, 679, 780, 572
• LCM of 304, 435, 626, 100
• LCM of 773, 589, 373, 326
• LCM of 788, 175, 298, 936
• LCM of 965, 882, 736, 769

1. What is the LCM of 434, 688, 400, 516?

Answer: LCM of 434, 688, 400, 516 is 11197200.

2. How to calculate the LCM of 434, 688, 400, 516?

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 434, 688, 400, 516.

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}.