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LCM of 781, 426, 667, 986, 636

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


Find the LCM of 781, 426, 667, 986, 636 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 781, 426, 667, 986, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,426,667,986,636

Given numbers are 781,426,667,986,636

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

The LCM of 781,426,667,986,636 is 5632262724.

Find LCM of 781,426,667,986,636 with Prime Factorization


2 781, 426, 667, 986, 636
3 781, 213, 667, 493, 318
29 781, 71, 667, 493, 106
71 781, 71, 23, 17, 106
11, 1, 23, 17, 106

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

2 x 3 x 29 x 71 x 11 x 1 x 23 x 17 x 106 = 5632262724

Therefore, the lowest common multiple of 781,426,667,986,636 is 5632262724.

LCM Formula to Find Lowest Common Multiple of 781,426,667,986,636

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.

781 x 426 x 667 x 986 x 636 = 139161947384592

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.

781 : 1, 11, 71, 781

426 : 1, 2, 3, 6, 71, 142, 213, 426

667 : 1, 23, 29, 667

986 : 1, 2, 17, 29, 34, 58, 493, 986

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,426,667,986,636, is 1.

Now, the common factors can be found like this.

781:11x 71

426:2x 3x 71

667:23x 29

986:2x 17x 29

636:2x 2x 3x 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 2x 3x 29x 71 = 24708

Therefore, the value for common factors is 24708.

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 = 139161947384592/(1x24708)

LCM = 139161947384592/24708

LCM = 5632262724

Thus, we can understand that the LCM of 781,426,667,986,636 is 5632262724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 426, 667, 986, 636

1. What is the LCM of 781, 426, 667, 986, 636?

Answer: LCM of 781, 426, 667, 986, 636 is 5632262724.

2. How to calculate the LCM of 781, 426, 667, 986, 636?

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 781, 426, 667, 986, 636.

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}.