Given numbers are 469,436,431,678

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

The LCM of 469,436,431,678 is 29876952756.

Find LCM of 469,436,431,678 with Prime Factorization

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

2 x 469 x 218 x 431 x 339 = 29876952756

Therefore, the lowest common multiple of 469,436,431,678 is 29876952756.

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 436 x 431 x 678 = 59753905512

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

436 : 1, 2, 4, 109, 218, 436

431 : 1, 431

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,436,431,678, is 1.

Now, the common factors can be found like this.

469:7x 67

436:2x 2x 109

431:431

678:2x 3x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 59753905512/(1x2)

LCM = 59753905512/2

LCM = 29876952756

Thus, we can understand that the LCM of 469,436,431,678 is 29876952756.

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

• LCM of 152, 554, 942, 399
• LCM of 273, 666, 872, 768
• LCM of 188, 708, 804, 862
• LCM of 952, 866, 947, 971
• LCM of 335, 248, 101, 251

1. What is the LCM of 469, 436, 431, 678?

Answer: LCM of 469, 436, 431, 678 is 29876952756.

2. How to calculate the LCM of 469, 436, 431, 678?

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, 436, 431, 678.

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}.