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LCM of 789, 739, 893, 686, 440

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


Find the LCM of 789, 739, 893, 686, 440 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 789, 739, 893, 686, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,739,893,686,440

Given numbers are 789,739,893,686,440

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

The LCM of 789,739,893,686,440 is 78581388260760.

Find LCM of 789,739,893,686,440 with Prime Factorization


2 789, 739, 893, 686, 440
789, 739, 893, 343, 220

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

2 x 789 x 739 x 893 x 343 x 220 = 78581388260760

Therefore, the lowest common multiple of 789,739,893,686,440 is 78581388260760.

LCM Formula to Find Lowest Common Multiple of 789,739,893,686,440

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.

789 x 739 x 893 x 686 x 440 = 157162776521520

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.

789 : 1, 3, 263, 789

739 : 1, 739

893 : 1, 19, 47, 893

686 : 1, 2, 7, 14, 49, 98, 343, 686

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,739,893,686,440, is 1.

Now, the common factors can be found like this.

789:3x 263

739:739

893:19x 47

686:2x 7x 7x 7

440:2x 2x 2x 5x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 157162776521520/(1x2)

LCM = 157162776521520/2

LCM = 78581388260760

Thus, we can understand that the LCM of 789,739,893,686,440 is 78581388260760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 739, 893, 686, 440

1. What is the LCM of 789, 739, 893, 686, 440?

Answer: LCM of 789, 739, 893, 686, 440 is 78581388260760.

2. How to calculate the LCM of 789, 739, 893, 686, 440?

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 789, 739, 893, 686, 440.

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}.