Given numbers are 429,164,253,578

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

The LCM of 429,164,253,578 is 467656332.

Find LCM of 429,164,253,578 with Prime Factorization

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

2 x 11 x 39 x 82 x 23 x 289 = 467656332

Therefore, the lowest common multiple of 429,164,253,578 is 467656332.

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.

429 x 164 x 253 x 578 = 10288439304

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.

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

164 : 1, 2, 4, 41, 82, 164

253 : 1, 11, 23, 253

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,164,253,578, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

164:2x 2x 41

253:11x 23

578:2x 17x 17

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 10288439304/(1x22)

LCM = 10288439304/22

LCM = 467656332

Thus, we can understand that the LCM of 429,164,253,578 is 467656332.

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

• LCM of 861, 934, 189, 890
• LCM of 551, 831, 741, 917
• LCM of 627, 138, 783, 823
• LCM of 390, 786, 500, 393
• LCM of 139, 997, 398, 904

1. What is the LCM of 429, 164, 253, 578?

Answer: LCM of 429, 164, 253, 578 is 467656332.

2. How to calculate the LCM of 429, 164, 253, 578?

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 429, 164, 253, 578.

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}.