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LCM of 338, 520, 978, 228, 668

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


Find the LCM of 338, 520, 978, 228, 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 338, 520, 978, 228, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,520,978,228,668

Given numbers are 338,520,978,228,668

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

The LCM of 338,520,978,228,668 is 10488795720.

Find LCM of 338,520,978,228,668 with Prime Factorization


2 338, 520, 978, 228, 668
2 169, 260, 489, 114, 334
3 169, 130, 489, 57, 167
13 169, 130, 163, 19, 167
13, 10, 163, 19, 167

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

2 x 2 x 3 x 13 x 13 x 10 x 163 x 19 x 167 = 10488795720

Therefore, the lowest common multiple of 338,520,978,228,668 is 10488795720.

LCM Formula to Find Lowest Common Multiple of 338,520,978,228,668

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.

338 x 520 x 978 x 228 x 668 = 26180034117120

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.

338 : 1, 2, 13, 26, 169, 338

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

978 : 1, 2, 3, 6, 163, 326, 489, 978

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,520,978,228,668, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

520:2x 2x 2x 5x 13

978:2x 3x 163

228:2x 2x 3x 19

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 2x 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 26180034117120/(2x1248)

LCM = 26180034117120/2496

LCM = 10488795720

Thus, we can understand that the LCM of 338,520,978,228,668 is 10488795720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 520, 978, 228, 668

1. What is the LCM of 338, 520, 978, 228, 668?

Answer: LCM of 338, 520, 978, 228, 668 is 10488795720.

2. How to calculate the LCM of 338, 520, 978, 228, 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 338, 520, 978, 228, 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}.