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LCM of 648, 136, 772, 668, 346

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


Find the LCM of 648, 136, 772, 668, 346 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 648, 136, 772, 668, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,136,772,668,346

Given numbers are 648,136,772,668,346

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

The LCM of 648,136,772,668,346 is 61424808408.

Find LCM of 648,136,772,668,346 with Prime Factorization


2 648, 136, 772, 668, 346
2 324, 68, 386, 334, 173
2 162, 34, 193, 167, 173
81, 17, 193, 167, 173

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

2 x 2 x 2 x 81 x 17 x 193 x 167 x 173 = 61424808408

Therefore, the lowest common multiple of 648,136,772,668,346 is 61424808408.

LCM Formula to Find Lowest Common Multiple of 648,136,772,668,346

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.

648 x 136 x 772 x 668 x 346 = 15724750952448

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

136 : 1, 2, 4, 8, 17, 34, 68, 136

772 : 1, 2, 4, 193, 386, 772

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

346 : 1, 2, 173, 346

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,136,772,668,346, is 2.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

136:2x 2x 2x 17

772:2x 2x 193

668:2x 2x 167

346:2x 173

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 15724750952448/(2x128)

LCM = 15724750952448/256

LCM = 61424808408

Thus, we can understand that the LCM of 648,136,772,668,346 is 61424808408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 136, 772, 668, 346

1. What is the LCM of 648, 136, 772, 668, 346?

Answer: LCM of 648, 136, 772, 668, 346 is 61424808408.

2. How to calculate the LCM of 648, 136, 772, 668, 346?

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 648, 136, 772, 668, 346.

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}.