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LCM of 648, 162, 834, 788, 425

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


Find the LCM of 648, 162, 834, 788, 425 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, 162, 834, 788, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,162,834,788,425

Given numbers are 648,162,834,788,425

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

The LCM of 648,162,834,788,425 is 7541278200.

Find LCM of 648,162,834,788,425 with Prime Factorization


2 648, 162, 834, 788, 425
2 324, 81, 417, 394, 425
3 162, 81, 417, 197, 425
3 54, 27, 139, 197, 425
3 18, 9, 139, 197, 425
3 6, 3, 139, 197, 425
2, 1, 139, 197, 425

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

2 x 2 x 3 x 3 x 3 x 3 x 2 x 1 x 139 x 197 x 425 = 7541278200

Therefore, the lowest common multiple of 648,162,834,788,425 is 7541278200.

LCM Formula to Find Lowest Common Multiple of 648,162,834,788,425

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 162 x 834 x 788 x 425 = 29320489641600

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

834 : 1, 2, 3, 6, 139, 278, 417, 834

788 : 1, 2, 4, 197, 394, 788

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,162,834,788,425, is 1.

Now, the common factors can be found like this.

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

162:2x 3x 3x 3x 3

834:2x 3x 139

788:2x 2x 197

425:5x 5x 17

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 29320489641600/(1x3888)

LCM = 29320489641600/3888

LCM = 7541278200

Thus, we can understand that the LCM of 648,162,834,788,425 is 7541278200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 162, 834, 788, 425

1. What is the LCM of 648, 162, 834, 788, 425?

Answer: LCM of 648, 162, 834, 788, 425 is 7541278200.

2. How to calculate the LCM of 648, 162, 834, 788, 425?

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, 162, 834, 788, 425.

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}.