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LCM of 787, 530, 668, 689

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


Find the LCM of 787, 530, 668, 689 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 787, 530, 668, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,530,668,689

Given numbers are 787,530,668,689

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

The LCM of 787,530,668,689 is 1811091620.

Find LCM of 787,530,668,689 with Prime Factorization


2 787, 530, 668, 689
53 787, 265, 334, 689
787, 5, 334, 13

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

2 x 53 x 787 x 5 x 334 x 13 = 1811091620

Therefore, the lowest common multiple of 787,530,668,689 is 1811091620.

LCM Formula to Find Lowest Common Multiple of 787,530,668,689

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.

787 x 530 x 668 x 689 = 191975711720

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.

787 : 1, 787

530 : 1, 2, 5, 10, 53, 106, 265, 530

668 : 1, 2, 4, 167, 334, 668

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,530,668,689, is 1.

Now, the common factors can be found like this.

787:787

530:2x 5x 53

668:2x 2x 167

689:13x 53

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 191975711720/(1x106)

LCM = 191975711720/106

LCM = 1811091620

Thus, we can understand that the LCM of 787,530,668,689 is 1811091620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 530, 668, 689

1. What is the LCM of 787, 530, 668, 689?

Answer: LCM of 787, 530, 668, 689 is 1811091620.

2. How to calculate the LCM of 787, 530, 668, 689?

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 787, 530, 668, 689.

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}.