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LCM of 767, 780, 403, 788

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


Find the LCM of 767, 780, 403, 788 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 767, 780, 403, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,780,403,788

Given numbers are 767,780,403,788

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

The LCM of 767,780,403,788 is 281044140.

Find LCM of 767,780,403,788 with Prime Factorization


2 767, 780, 403, 788
2 767, 390, 403, 394
13 767, 195, 403, 197
59, 15, 31, 197

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

2 x 2 x 13 x 59 x 15 x 31 x 197 = 281044140

Therefore, the lowest common multiple of 767,780,403,788 is 281044140.

LCM Formula to Find Lowest Common Multiple of 767,780,403,788

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.

767 x 780 x 403 x 788 = 189985838640

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.

767 : 1, 13, 59, 767

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

403 : 1, 13, 31, 403

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,780,403,788, is 1.

Now, the common factors can be found like this.

767:13x 59

780:2x 2x 3x 5x 13

403:13x 31

788:2x 2x 197

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 189985838640/(1x676)

LCM = 189985838640/676

LCM = 281044140

Thus, we can understand that the LCM of 767,780,403,788 is 281044140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 780, 403, 788

1. What is the LCM of 767, 780, 403, 788?

Answer: LCM of 767, 780, 403, 788 is 281044140.

2. How to calculate the LCM of 767, 780, 403, 788?

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 767, 780, 403, 788.

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}.