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LCM of 382, 841, 789, 118, 794

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


Find the LCM of 382, 841, 789, 118, 794 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 382, 841, 789, 118, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,841,789,118,794

Given numbers are 382,841,789,118,794

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

The LCM of 382,841,789,118,794 is 5937161742714.

Find LCM of 382,841,789,118,794 with Prime Factorization


2 382, 841, 789, 118, 794
191, 841, 789, 59, 397

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

2 x 191 x 841 x 789 x 59 x 397 = 5937161742714

Therefore, the lowest common multiple of 382,841,789,118,794 is 5937161742714.

LCM Formula to Find Lowest Common Multiple of 382,841,789,118,794

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.

382 x 841 x 789 x 118 x 794 = 23748646970856

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.

382 : 1, 2, 191, 382

841 : 1, 29, 841

789 : 1, 3, 263, 789

118 : 1, 2, 59, 118

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,841,789,118,794, is 1.

Now, the common factors can be found like this.

382:2x 191

841:29x 29

789:3x 263

118:2x 59

794:2x 397

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23748646970856/(1x4)

LCM = 23748646970856/4

LCM = 5937161742714

Thus, we can understand that the LCM of 382,841,789,118,794 is 5937161742714.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 841, 789, 118, 794

1. What is the LCM of 382, 841, 789, 118, 794?

Answer: LCM of 382, 841, 789, 118, 794 is 5937161742714.

2. How to calculate the LCM of 382, 841, 789, 118, 794?

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 382, 841, 789, 118, 794.

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}.