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LCM of 412, 697, 167, 962, 142

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 412, 697, 167, 962, 142 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 412, 697, 167, 962, 142. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,697,167,962,142

Given numbers are 412,697,167,962,142

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

The LCM of 412,697,167,962,142 is 1637758606588.

Find LCM of 412,697,167,962,142 with Prime Factorization


2 412, 697, 167, 962, 142
206, 697, 167, 481, 71

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

2 x 206 x 697 x 167 x 481 x 71 = 1637758606588

Therefore, the lowest common multiple of 412,697,167,962,142 is 1637758606588.

LCM Formula to Find Lowest Common Multiple of 412,697,167,962,142

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.

412 x 697 x 167 x 962 x 142 = 6551034426352

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.

412 : 1, 2, 4, 103, 206, 412

697 : 1, 17, 41, 697

167 : 1, 167

962 : 1, 2, 13, 26, 37, 74, 481, 962

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,697,167,962,142, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

697:17x 41

167:167

962:2x 13x 37

142:2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6551034426352/(1x4)

LCM = 6551034426352/4

LCM = 1637758606588

Thus, we can understand that the LCM of 412,697,167,962,142 is 1637758606588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 697, 167, 962, 142

1. What is the LCM of 412, 697, 167, 962, 142?

Answer: LCM of 412, 697, 167, 962, 142 is 1637758606588.

2. How to calculate the LCM of 412, 697, 167, 962, 142?

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 412, 697, 167, 962, 142.

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}.