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LCM of 498, 286, 734, 769

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


Find the LCM of 498, 286, 734, 769 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 498, 286, 734, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 498,286,734,769

Given numbers are 498,286,734,769

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

The LCM of 498,286,734,769 is 20098228722.

Find LCM of 498,286,734,769 with Prime Factorization


2 498, 286, 734, 769
249, 143, 367, 769

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

2 x 249 x 143 x 367 x 769 = 20098228722

Therefore, the lowest common multiple of 498,286,734,769 is 20098228722.

LCM Formula to Find Lowest Common Multiple of 498,286,734,769

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.

498 x 286 x 734 x 769 = 80392914888

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

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

734 : 1, 2, 367, 734

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,286,734,769, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

286:2x 11x 13

734:2x 367

769:769

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 = 80392914888/(1x4)

LCM = 80392914888/4

LCM = 20098228722

Thus, we can understand that the LCM of 498,286,734,769 is 20098228722.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 498, 286, 734, 769

1. What is the LCM of 498, 286, 734, 769?

Answer: LCM of 498, 286, 734, 769 is 20098228722.

2. How to calculate the LCM of 498, 286, 734, 769?

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 498, 286, 734, 769.

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}.