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LCM of 998, 345, 154, 892, 780

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


Find the LCM of 998, 345, 154, 892, 780 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 998, 345, 154, 892, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,345,154,892,780

Given numbers are 998,345,154,892,780

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

The LCM of 998,345,154,892,780 is 153715822260.

Find LCM of 998,345,154,892,780 with Prime Factorization


2 998, 345, 154, 892, 780
2 499, 345, 77, 446, 390
3 499, 345, 77, 223, 195
5 499, 115, 77, 223, 65
499, 23, 77, 223, 13

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

2 x 2 x 3 x 5 x 499 x 23 x 77 x 223 x 13 = 153715822260

Therefore, the lowest common multiple of 998,345,154,892,780 is 153715822260.

LCM Formula to Find Lowest Common Multiple of 998,345,154,892,780

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.

998 x 345 x 154 x 892 x 780 = 36891797342400

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.

998 : 1, 2, 499, 998

345 : 1, 3, 5, 15, 23, 69, 115, 345

154 : 1, 2, 7, 11, 14, 22, 77, 154

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,345,154,892,780, is 1.

Now, the common factors can be found like this.

998:2x 499

345:3x 5x 23

154:2x 7x 11

892:2x 2x 223

780:2x 2x 3x 5x 13

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 36891797342400/(1x240)

LCM = 36891797342400/240

LCM = 153715822260

Thus, we can understand that the LCM of 998,345,154,892,780 is 153715822260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 345, 154, 892, 780

1. What is the LCM of 998, 345, 154, 892, 780?

Answer: LCM of 998, 345, 154, 892, 780 is 153715822260.

2. How to calculate the LCM of 998, 345, 154, 892, 780?

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 998, 345, 154, 892, 780.

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}.