Given numbers are 429,195,167,301

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

The LCM of 429,195,167,301 is 107822715.

Find LCM of 429,195,167,301 with Prime Factorization

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

3 x 13 x 11 x 5 x 167 x 301 = 107822715

Therefore, the lowest common multiple of 429,195,167,301 is 107822715.

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 195 x 167 x 301 = 4205085885

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

167 : 1, 167

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,195,167,301, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

195:3x 5x 13

167:167

301:7x 43

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 4205085885/(1x39)

LCM = 4205085885/39

LCM = 107822715

Thus, we can understand that the LCM of 429,195,167,301 is 107822715.

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

• LCM of 346, 905, 468, 436
• LCM of 110, 375, 971, 680
• LCM of 169, 995, 756, 697
• LCM of 756, 401, 931, 538
• LCM of 873, 519, 599, 629

1. What is the LCM of 429, 195, 167, 301?

Answer: LCM of 429, 195, 167, 301 is 107822715.

2. How to calculate the LCM of 429, 195, 167, 301?

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, 195, 167, 301.

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}.