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LCM of 499, 924, 110, 174

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


Find the LCM of 499, 924, 110, 174 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, 924, 110, 174. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 499,924,110,174

Given numbers are 499,924,110,174

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

The LCM of 499,924,110,174 is 66856020.

Find LCM of 499,924,110,174 with Prime Factorization


2 499, 924, 110, 174
3 499, 462, 55, 87
11 499, 154, 55, 29
499, 14, 5, 29

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

2 x 3 x 11 x 499 x 14 x 5 x 29 = 66856020

Therefore, the lowest common multiple of 499,924,110,174 is 66856020.

LCM Formula to Find Lowest Common Multiple of 499,924,110,174

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 924 x 110 x 174 = 8824994640

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

110 : 1, 2, 5, 10, 11, 22, 55, 110

174 : 1, 2, 3, 6, 29, 58, 87, 174

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,924,110,174, is 1.

Now, the common factors can be found like this.

499:499

924:2x 2x 3x 7x 11

110:2x 5x 11

174:2x 3x 29

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

2x 2x 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 8824994640/(1x132)

LCM = 8824994640/132

LCM = 66856020

Thus, we can understand that the LCM of 499,924,110,174 is 66856020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 499, 924, 110, 174

1. What is the LCM of 499, 924, 110, 174?

Answer: LCM of 499, 924, 110, 174 is 66856020.

2. How to calculate the LCM of 499, 924, 110, 174?

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, 924, 110, 174.

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}.