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LCM of 298, 729, 966, 874

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


Find the LCM of 298, 729, 966, 874 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 298, 729, 966, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,729,966,874

Given numbers are 298,729,966,874

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

The LCM of 298,729,966,874 is 664543278.

Find LCM of 298,729,966,874 with Prime Factorization


2 298, 729, 966, 874
3 149, 729, 483, 437
23 149, 243, 161, 437
149, 243, 7, 19

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

2 x 3 x 23 x 149 x 243 x 7 x 19 = 664543278

Therefore, the lowest common multiple of 298,729,966,874 is 664543278.

LCM Formula to Find Lowest Common Multiple of 298,729,966,874

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.

298 x 729 x 966 x 874 = 183413944728

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.

298 : 1, 2, 149, 298

729 : 1, 3, 9, 27, 81, 243, 729

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,729,966,874, is 1.

Now, the common factors can be found like this.

298:2x 149

729:3x 3x 3x 3x 3x 3

966:2x 3x 7x 23

874:2x 19x 23

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 23 = 276

Therefore, the value for common factors is 276.

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 = 183413944728/(1x276)

LCM = 183413944728/276

LCM = 664543278

Thus, we can understand that the LCM of 298,729,966,874 is 664543278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 729, 966, 874

1. What is the LCM of 298, 729, 966, 874?

Answer: LCM of 298, 729, 966, 874 is 664543278.

2. How to calculate the LCM of 298, 729, 966, 874?

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 298, 729, 966, 874.

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}.