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LCM of 689, 678, 888, 712

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


Find the LCM of 689, 678, 888, 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 689, 678, 888, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,678,888,712

Given numbers are 689,678,888,712

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

The LCM of 689,678,888,712 is 6153194424.

Find LCM of 689,678,888,712 with Prime Factorization


2 689, 678, 888, 712
2 689, 339, 444, 356
2 689, 339, 222, 178
3 689, 339, 111, 89
689, 113, 37, 89

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

2 x 2 x 2 x 3 x 689 x 113 x 37 x 89 = 6153194424

Therefore, the lowest common multiple of 689,678,888,712 is 6153194424.

LCM Formula to Find Lowest Common Multiple of 689,678,888,712

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.

689 x 678 x 888 x 712 = 295353332352

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.

689 : 1, 13, 53, 689

678 : 1, 2, 3, 6, 113, 226, 339, 678

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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 689,678,888,712, is 1.

Now, the common factors can be found like this.

689:13x 53

678:2x 3x 113

888:2x 2x 2x 3x 37

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 295353332352/(1x48)

LCM = 295353332352/48

LCM = 6153194424

Thus, we can understand that the LCM of 689,678,888,712 is 6153194424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 678, 888, 712

1. What is the LCM of 689, 678, 888, 712?

Answer: LCM of 689, 678, 888, 712 is 6153194424.

2. How to calculate the LCM of 689, 678, 888, 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 689, 678, 888, 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}.