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LCM of 110, 412, 679, 176, 892

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


Find the LCM of 110, 412, 679, 176, 892 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 110, 412, 679, 176, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,412,679,176,892

Given numbers are 110,412,679,176,892

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

The LCM of 110,412,679,176,892 is 13724436880.

Find LCM of 110,412,679,176,892 with Prime Factorization


2 110, 412, 679, 176, 892
2 55, 206, 679, 88, 446
11 55, 103, 679, 44, 223
5, 103, 679, 4, 223

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

2 x 2 x 11 x 5 x 103 x 679 x 4 x 223 = 13724436880

Therefore, the lowest common multiple of 110,412,679,176,892 is 13724436880.

LCM Formula to Find Lowest Common Multiple of 110,412,679,176,892

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.

110 x 412 x 679 x 176 x 892 = 4831001781760

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.

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

412 : 1, 2, 4, 103, 206, 412

679 : 1, 7, 97, 679

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,412,679,176,892, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

412:2x 2x 103

679:7x 97

176:2x 2x 2x 2x 11

892:2x 2x 223

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 2x 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 4831001781760/(1x352)

LCM = 4831001781760/352

LCM = 13724436880

Thus, we can understand that the LCM of 110,412,679,176,892 is 13724436880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 412, 679, 176, 892

1. What is the LCM of 110, 412, 679, 176, 892?

Answer: LCM of 110, 412, 679, 176, 892 is 13724436880.

2. How to calculate the LCM of 110, 412, 679, 176, 892?

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 110, 412, 679, 176, 892.

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}.