Given numbers are 469,689,310,429

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

The LCM of 469,689,310,429 is 3305732430.

Find LCM of 469,689,310,429 with Prime Factorization

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

13 x 469 x 53 x 310 x 33 = 3305732430

Therefore, the lowest common multiple of 469,689,310,429 is 3305732430.

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.

469 x 689 x 310 x 429 = 42974521590

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.

469 : 1, 7, 67, 469

689 : 1, 13, 53, 689

310 : 1, 2, 5, 10, 31, 62, 155, 310

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,689,310,429, is 1.

Now, the common factors can be found like this.

469:7x 67

689:13x 53

310:2x 5x 31

429:3x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 42974521590/(1x13)

LCM = 42974521590/13

LCM = 3305732430

Thus, we can understand that the LCM of 469,689,310,429 is 3305732430.

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

• LCM of 915, 127, 668, 423
• LCM of 595, 969, 626, 496
• LCM of 653, 537, 859, 822
• LCM of 918, 861, 601, 205
• LCM of 294, 331, 570, 261

1. What is the LCM of 469, 689, 310, 429?

Answer: LCM of 469, 689, 310, 429 is 3305732430.

2. How to calculate the LCM of 469, 689, 310, 429?

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 469, 689, 310, 429.

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}.