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LCM of 178, 559, 682, 970, 712

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


Find the LCM of 178, 559, 682, 970, 712 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 178, 559, 682, 970, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 178,559,682,970,712

Given numbers are 178,559,682,970,712

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

The LCM of 178,559,682,970,712 is 65824553080.

Find LCM of 178,559,682,970,712 with Prime Factorization


2 178, 559, 682, 970, 712
89 89, 559, 341, 485, 356
1, 559, 341, 485, 4

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

2 x 89 x 1 x 559 x 341 x 485 x 4 = 65824553080

Therefore, the lowest common multiple of 178,559,682,970,712 is 65824553080.

LCM Formula to Find Lowest Common Multiple of 178,559,682,970,712

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.

178 x 559 x 682 x 970 x 712 = 46867081792960

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.

178 : 1, 2, 89, 178

559 : 1, 13, 43, 559

682 : 1, 2, 11, 22, 31, 62, 341, 682

970 : 1, 2, 5, 10, 97, 194, 485, 970

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,559,682,970,712, is 1.

Now, the common factors can be found like this.

178:2x 89

559:13x 43

682:2x 11x 31

970:2x 5x 97

712:2x 2x 2x 89

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

2x 2x 2x 89 = 712

Therefore, the value for common factors is 712.

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 = 46867081792960/(1x712)

LCM = 46867081792960/712

LCM = 65824553080

Thus, we can understand that the LCM of 178,559,682,970,712 is 65824553080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 178, 559, 682, 970, 712

1. What is the LCM of 178, 559, 682, 970, 712?

Answer: LCM of 178, 559, 682, 970, 712 is 65824553080.

2. How to calculate the LCM of 178, 559, 682, 970, 712?

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 178, 559, 682, 970, 712.

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}.