Given numbers are 157,114,467,214

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

The LCM of 157,114,467,214 is 894345162.

Find LCM of 157,114,467,214 with Prime Factorization

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

2 x 157 x 57 x 467 x 107 = 894345162

Therefore, the lowest common multiple of 157,114,467,214 is 894345162.

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.

157 x 114 x 467 x 214 = 1788690324

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.

157 : 1, 157

114 : 1, 2, 3, 6, 19, 38, 57, 114

467 : 1, 467

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,114,467,214, is 1.

Now, the common factors can be found like this.

157:157

114:2x 3x 19

467:467

214:2x 107

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 = 1788690324/(1x2)

LCM = 1788690324/2

LCM = 894345162

Thus, we can understand that the LCM of 157,114,467,214 is 894345162.

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

• LCM of 622, 234, 435, 742
• LCM of 887, 342, 258, 590
• LCM of 745, 209, 574, 679
• LCM of 917, 841, 813, 719
• LCM of 356, 644, 125, 686

1. What is the LCM of 157, 114, 467, 214?

Answer: LCM of 157, 114, 467, 214 is 894345162.

2. How to calculate the LCM of 157, 114, 467, 214?

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 157, 114, 467, 214.

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}.