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LCM of 789, 494, 491, 510, 850

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


Find the LCM of 789, 494, 491, 510, 850 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, 494, 491, 510, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,494,491,510,850

Given numbers are 789,494,491,510,850

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

The LCM of 789,494,491,510,850 is 81334420050.

Find LCM of 789,494,491,510,850 with Prime Factorization


2 789, 494, 491, 510, 850
3 789, 247, 491, 255, 425
5 263, 247, 491, 85, 425
17 263, 247, 491, 17, 85
263, 247, 491, 1, 5

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

2 x 3 x 5 x 17 x 263 x 247 x 491 x 1 x 5 = 81334420050

Therefore, the lowest common multiple of 789,494,491,510,850 is 81334420050.

LCM Formula to Find Lowest Common Multiple of 789,494,491,510,850

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 494 x 491 x 510 x 850 = 82961108451000

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

491 : 1, 491

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,494,491,510,850, is 1.

Now, the common factors can be found like this.

789:3x 263

494:2x 13x 19

491:491

510:2x 3x 5x 17

850:2x 5x 5x 17

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 5x 17 = 1020

Therefore, the value for common factors is 1020.

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 = 82961108451000/(1x1020)

LCM = 82961108451000/1020

LCM = 81334420050

Thus, we can understand that the LCM of 789,494,491,510,850 is 81334420050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 494, 491, 510, 850

1. What is the LCM of 789, 494, 491, 510, 850?

Answer: LCM of 789, 494, 491, 510, 850 is 81334420050.

2. How to calculate the LCM of 789, 494, 491, 510, 850?

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, 494, 491, 510, 850.

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}.