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LCM of 789, 544, 790, 655, 799

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


Find the LCM of 789, 544, 790, 655, 799 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, 544, 790, 655, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,544,790,655,799

Given numbers are 789,544,790,655,799

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

The LCM of 789,544,790,655,799 is 1043859750240.

Find LCM of 789,544,790,655,799 with Prime Factorization


2 789, 544, 790, 655, 799
5 789, 272, 395, 655, 799
17 789, 272, 79, 131, 799
789, 16, 79, 131, 47

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

2 x 5 x 17 x 789 x 16 x 79 x 131 x 47 = 1043859750240

Therefore, the lowest common multiple of 789,544,790,655,799 is 1043859750240.

LCM Formula to Find Lowest Common Multiple of 789,544,790,655,799

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 544 x 790 x 655 x 799 = 177456157540800

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

790 : 1, 2, 5, 10, 79, 158, 395, 790

655 : 1, 5, 131, 655

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,544,790,655,799, is 1.

Now, the common factors can be found like this.

789:3x 263

544:2x 2x 2x 2x 2x 17

790:2x 5x 79

655:5x 131

799:17x 47

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

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 177456157540800/(1x170)

LCM = 177456157540800/170

LCM = 1043859750240

Thus, we can understand that the LCM of 789,544,790,655,799 is 1043859750240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 544, 790, 655, 799

1. What is the LCM of 789, 544, 790, 655, 799?

Answer: LCM of 789, 544, 790, 655, 799 is 1043859750240.

2. How to calculate the LCM of 789, 544, 790, 655, 799?

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, 544, 790, 655, 799.

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}.