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LCM of 751, 616, 499, 946, 687

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


Find the LCM of 751, 616, 499, 946, 687 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 751, 616, 499, 946, 687. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,616,499,946,687

Given numbers are 751,616,499,946,687

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

The LCM of 751,616,499,946,687 is 6819403488744.

Find LCM of 751,616,499,946,687 with Prime Factorization


2 751, 616, 499, 946, 687
11 751, 308, 499, 473, 687
751, 28, 499, 43, 687

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

2 x 11 x 751 x 28 x 499 x 43 x 687 = 6819403488744

Therefore, the lowest common multiple of 751,616,499,946,687 is 6819403488744.

LCM Formula to Find Lowest Common Multiple of 751,616,499,946,687

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.

751 x 616 x 499 x 946 x 687 = 150026876752368

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.

751 : 1, 751

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

499 : 1, 499

946 : 1, 2, 11, 22, 43, 86, 473, 946

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,616,499,946,687, is 1.

Now, the common factors can be found like this.

751:751

616:2x 2x 2x 7x 11

499:499

946:2x 11x 43

687:3x 229

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 150026876752368/(1x22)

LCM = 150026876752368/22

LCM = 6819403488744

Thus, we can understand that the LCM of 751,616,499,946,687 is 6819403488744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 616, 499, 946, 687

1. What is the LCM of 751, 616, 499, 946, 687?

Answer: LCM of 751, 616, 499, 946, 687 is 6819403488744.

2. How to calculate the LCM of 751, 616, 499, 946, 687?

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 751, 616, 499, 946, 687.

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}.