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LCM of 790, 737, 834, 477

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


Find the LCM of 790, 737, 834, 477 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 790, 737, 834, 477. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 790,737,834,477

Given numbers are 790,737,834,477

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

The LCM of 790,737,834,477 is 38603595690.

Find LCM of 790,737,834,477 with Prime Factorization


2 790, 737, 834, 477
3 395, 737, 417, 477
395, 737, 139, 159

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

2 x 3 x 395 x 737 x 139 x 159 = 38603595690

Therefore, the lowest common multiple of 790,737,834,477 is 38603595690.

LCM Formula to Find Lowest Common Multiple of 790,737,834,477

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.

790 x 737 x 834 x 477 = 231621574140

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.

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

737 : 1, 11, 67, 737

834 : 1, 2, 3, 6, 139, 278, 417, 834

477 : 1, 3, 9, 53, 159, 477

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,737,834,477, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

737:11x 67

834:2x 3x 139

477:3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 231621574140/(1x6)

LCM = 231621574140/6

LCM = 38603595690

Thus, we can understand that the LCM of 790,737,834,477 is 38603595690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 790, 737, 834, 477

1. What is the LCM of 790, 737, 834, 477?

Answer: LCM of 790, 737, 834, 477 is 38603595690.

2. How to calculate the LCM of 790, 737, 834, 477?

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 790, 737, 834, 477.

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}.