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LCM of 649, 450, 496, 179

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


Find the LCM of 649, 450, 496, 179 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 649, 450, 496, 179. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,450,496,179

Given numbers are 649,450,496,179

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

The LCM of 649,450,496,179 is 12964683600.

Find LCM of 649,450,496,179 with Prime Factorization


2 649, 450, 496, 179
649, 225, 248, 179

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

2 x 649 x 225 x 248 x 179 = 12964683600

Therefore, the lowest common multiple of 649,450,496,179 is 12964683600.

LCM Formula to Find Lowest Common Multiple of 649,450,496,179

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.

649 x 450 x 496 x 179 = 25929367200

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.

649 : 1, 11, 59, 649

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

179 : 1, 179

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,450,496,179, is 1.

Now, the common factors can be found like this.

649:11x 59

450:2x 3x 3x 5x 5

496:2x 2x 2x 2x 31

179:179

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 = 25929367200/(1x2)

LCM = 25929367200/2

LCM = 12964683600

Thus, we can understand that the LCM of 649,450,496,179 is 12964683600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 450, 496, 179

1. What is the LCM of 649, 450, 496, 179?

Answer: LCM of 649, 450, 496, 179 is 12964683600.

2. How to calculate the LCM of 649, 450, 496, 179?

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 649, 450, 496, 179.

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}.