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LCM of 769, 869, 172, 781

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


Find the LCM of 769, 869, 172, 781 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 769, 869, 172, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,869,172,781

Given numbers are 769,869,172,781

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

The LCM of 769,869,172,781 is 8160803332.

Find LCM of 769,869,172,781 with Prime Factorization


11 769, 869, 172, 781
769, 79, 172, 71

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

11 x 769 x 79 x 172 x 71 = 8160803332

Therefore, the lowest common multiple of 769,869,172,781 is 8160803332.

LCM Formula to Find Lowest Common Multiple of 769,869,172,781

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.

769 x 869 x 172 x 781 = 89768836652

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.

769 : 1, 769

869 : 1, 11, 79, 869

172 : 1, 2, 4, 43, 86, 172

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,869,172,781, is 1.

Now, the common factors can be found like this.

769:769

869:11x 79

172:2x 2x 43

781:11x 71

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

11 = 11

Therefore, the value for common factors is 11.

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 = 89768836652/(1x11)

LCM = 89768836652/11

LCM = 8160803332

Thus, we can understand that the LCM of 769,869,172,781 is 8160803332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 869, 172, 781

1. What is the LCM of 769, 869, 172, 781?

Answer: LCM of 769, 869, 172, 781 is 8160803332.

2. How to calculate the LCM of 769, 869, 172, 781?

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 769, 869, 172, 781.

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}.