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LCM of 978, 540, 668, 759, 323

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


Find the LCM of 978, 540, 668, 759, 323 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 978, 540, 668, 759, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,540,668,759,323

Given numbers are 978,540,668,759,323

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

The LCM of 978,540,668,759,323 is 1201215365460.

Find LCM of 978,540,668,759,323 with Prime Factorization


2 978, 540, 668, 759, 323
2 489, 270, 334, 759, 323
3 489, 135, 167, 759, 323
163, 45, 167, 253, 323

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

2 x 2 x 3 x 163 x 45 x 167 x 253 x 323 = 1201215365460

Therefore, the lowest common multiple of 978,540,668,759,323 is 1201215365460.

LCM Formula to Find Lowest Common Multiple of 978,540,668,759,323

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.

978 x 540 x 668 x 759 x 323 = 86487506313120

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.

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,540,668,759,323, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

540:2x 2x 3x 3x 3x 5

668:2x 2x 167

759:3x 11x 23

323:17x 19

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 86487506313120/(1x72)

LCM = 86487506313120/72

LCM = 1201215365460

Thus, we can understand that the LCM of 978,540,668,759,323 is 1201215365460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 540, 668, 759, 323

1. What is the LCM of 978, 540, 668, 759, 323?

Answer: LCM of 978, 540, 668, 759, 323 is 1201215365460.

2. How to calculate the LCM of 978, 540, 668, 759, 323?

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 978, 540, 668, 759, 323.

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}.