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LCM of 499, 528, 685, 767, 923

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


Find the LCM of 499, 528, 685, 767, 923 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 499, 528, 685, 767, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 499,528,685,767,923

Given numbers are 499,528,685,767,923

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

The LCM of 499,528,685,767,923 is 9828307872240.

Find LCM of 499,528,685,767,923 with Prime Factorization


13 499, 528, 685, 767, 923
499, 528, 685, 59, 71

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

13 x 499 x 528 x 685 x 59 x 71 = 9828307872240

Therefore, the lowest common multiple of 499,528,685,767,923 is 9828307872240.

LCM Formula to Find Lowest Common Multiple of 499,528,685,767,923

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.

499 x 528 x 685 x 767 x 923 = 127768002339120

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.

499 : 1, 499

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

685 : 1, 5, 137, 685

767 : 1, 13, 59, 767

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,528,685,767,923, is 1.

Now, the common factors can be found like this.

499:499

528:2x 2x 2x 2x 3x 11

685:5x 137

767:13x 59

923:13x 71

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

13 = 13

Therefore, the value for common factors is 13.

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 = 127768002339120/(1x13)

LCM = 127768002339120/13

LCM = 9828307872240

Thus, we can understand that the LCM of 499,528,685,767,923 is 9828307872240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 499, 528, 685, 767, 923

1. What is the LCM of 499, 528, 685, 767, 923?

Answer: LCM of 499, 528, 685, 767, 923 is 9828307872240.

2. How to calculate the LCM of 499, 528, 685, 767, 923?

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 499, 528, 685, 767, 923.

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}.