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LCM of 229, 844, 397, 154, 668

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


Find the LCM of 229, 844, 397, 154, 668 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 229, 844, 397, 154, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,844,397,154,668

Given numbers are 229,844,397,154,668

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

The LCM of 229,844,397,154,668 is 986678425348.

Find LCM of 229,844,397,154,668 with Prime Factorization


2 229, 844, 397, 154, 668
2 229, 422, 397, 77, 334
229, 211, 397, 77, 167

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

2 x 2 x 229 x 211 x 397 x 77 x 167 = 986678425348

Therefore, the lowest common multiple of 229,844,397,154,668 is 986678425348.

LCM Formula to Find Lowest Common Multiple of 229,844,397,154,668

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.

229 x 844 x 397 x 154 x 668 = 7893427402784

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.

229 : 1, 229

844 : 1, 2, 4, 211, 422, 844

397 : 1, 397

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

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,844,397,154,668, is 1.

Now, the common factors can be found like this.

229:229

844:2x 2x 211

397:397

154:2x 7x 11

668:2x 2x 167

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7893427402784/(1x8)

LCM = 7893427402784/8

LCM = 986678425348

Thus, we can understand that the LCM of 229,844,397,154,668 is 986678425348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 844, 397, 154, 668

1. What is the LCM of 229, 844, 397, 154, 668?

Answer: LCM of 229, 844, 397, 154, 668 is 986678425348.

2. How to calculate the LCM of 229, 844, 397, 154, 668?

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 229, 844, 397, 154, 668.

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}.