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LCM of 788, 807, 286, 721

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


Find the LCM of 788, 807, 286, 721 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, 807, 286, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,807,286,721

Given numbers are 788,807,286,721

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

The LCM of 788,807,286,721 is 65564847348.

Find LCM of 788,807,286,721 with Prime Factorization


2 788, 807, 286, 721
394, 807, 143, 721

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

2 x 394 x 807 x 143 x 721 = 65564847348

Therefore, the lowest common multiple of 788,807,286,721 is 65564847348.

LCM Formula to Find Lowest Common Multiple of 788,807,286,721

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 807 x 286 x 721 = 131129694696

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

807 : 1, 3, 269, 807

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

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,807,286,721, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

807:3x 269

286:2x 11x 13

721:7x 103

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

2 = 2

Therefore, the value for common factors is 2.

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 = 131129694696/(1x2)

LCM = 131129694696/2

LCM = 65564847348

Thus, we can understand that the LCM of 788,807,286,721 is 65564847348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 807, 286, 721

1. What is the LCM of 788, 807, 286, 721?

Answer: LCM of 788, 807, 286, 721 is 65564847348.

2. How to calculate the LCM of 788, 807, 286, 721?

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, 807, 286, 721.

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}.