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LCM of 788, 878, 286, 966, 778

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


Find the LCM of 788, 878, 286, 966, 778 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 788, 878, 286, 966, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,878,286,966,778

Given numbers are 788,878,286,966,778

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

The LCM of 788,878,286,966,778 is 9294445972812.

Find LCM of 788,878,286,966,778 with Prime Factorization


2 788, 878, 286, 966, 778
394, 439, 143, 483, 389

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

2 x 394 x 439 x 143 x 483 x 389 = 9294445972812

Therefore, the lowest common multiple of 788,878,286,966,778 is 9294445972812.

LCM Formula to Find Lowest Common Multiple of 788,878,286,966,778

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.

788 x 878 x 286 x 966 x 778 = 148711135564992

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.

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

878 : 1, 2, 439, 878

286 : 1, 2, 11, 13, 22, 26, 143, 286

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,878,286,966,778, is 2.

Now, the common factors can be found like this.

788:2x 2x 197

878:2x 439

286:2x 11x 13

966:2x 3x 7x 23

778:2x 389

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 2 = 8

Therefore, the value for common factors is 8.

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 = 148711135564992/(2x8)

LCM = 148711135564992/16

LCM = 9294445972812

Thus, we can understand that the LCM of 788,878,286,966,778 is 9294445972812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 878, 286, 966, 778

1. What is the LCM of 788, 878, 286, 966, 778?

Answer: LCM of 788, 878, 286, 966, 778 is 9294445972812.

2. How to calculate the LCM of 788, 878, 286, 966, 778?

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 788, 878, 286, 966, 778.

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}.