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LCM of 298, 334, 109, 462, 891

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


Find the LCM of 298, 334, 109, 462, 891 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, 334, 109, 462, 891. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,334,109,462,891

Given numbers are 298,334,109,462,891

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

The LCM of 298,334,109,462,891 is 33832569078.

Find LCM of 298,334,109,462,891 with Prime Factorization


2 298, 334, 109, 462, 891
3 149, 167, 109, 231, 891
11 149, 167, 109, 77, 297
149, 167, 109, 7, 27

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

2 x 3 x 11 x 149 x 167 x 109 x 7 x 27 = 33832569078

Therefore, the lowest common multiple of 298,334,109,462,891 is 33832569078.

LCM Formula to Find Lowest Common Multiple of 298,334,109,462,891

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 334 x 109 x 462 x 891 = 4465899118296

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

334 : 1, 2, 167, 334

109 : 1, 109

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,334,109,462,891, is 1.

Now, the common factors can be found like this.

298:2x 149

334:2x 167

109:109

462:2x 3x 7x 11

891:3x 3x 3x 3x 11

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 = 4465899118296/(1x132)

LCM = 4465899118296/132

LCM = 33832569078

Thus, we can understand that the LCM of 298,334,109,462,891 is 33832569078.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 334, 109, 462, 891

1. What is the LCM of 298, 334, 109, 462, 891?

Answer: LCM of 298, 334, 109, 462, 891 is 33832569078.

2. How to calculate the LCM of 298, 334, 109, 462, 891?

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, 334, 109, 462, 891.

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}.