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LCM of 696, 689, 743, 612, 524

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


Find the LCM of 696, 689, 743, 612, 524 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 696, 689, 743, 612, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 696,689,743,612,524

Given numbers are 696,689,743,612,524

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

The LCM of 696,689,743,612,524 is 2380448263752.

Find LCM of 696,689,743,612,524 with Prime Factorization


2 696, 689, 743, 612, 524
2 348, 689, 743, 306, 262
3 174, 689, 743, 153, 131
58, 689, 743, 51, 131

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

2 x 2 x 3 x 58 x 689 x 743 x 51 x 131 = 2380448263752

Therefore, the lowest common multiple of 696,689,743,612,524 is 2380448263752.

LCM Formula to Find Lowest Common Multiple of 696,689,743,612,524

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.

696 x 689 x 743 x 612 x 524 = 114261516660096

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

689 : 1, 13, 53, 689

743 : 1, 743

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,689,743,612,524, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

689:13x 53

743:743

612:2x 2x 3x 3x 17

524:2x 2x 131

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 = 114261516660096/(1x48)

LCM = 114261516660096/48

LCM = 2380448263752

Thus, we can understand that the LCM of 696,689,743,612,524 is 2380448263752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 696, 689, 743, 612, 524

1. What is the LCM of 696, 689, 743, 612, 524?

Answer: LCM of 696, 689, 743, 612, 524 is 2380448263752.

2. How to calculate the LCM of 696, 689, 743, 612, 524?

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 696, 689, 743, 612, 524.

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}.