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LCM of 648, 426, 213, 856, 440

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


Find the LCM of 648, 426, 213, 856, 440 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, 426, 213, 856, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,426,213,856,440

Given numbers are 648,426,213,856,440

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

The LCM of 648,426,213,856,440 is 270757080.

Find LCM of 648,426,213,856,440 with Prime Factorization


2 648, 426, 213, 856, 440
2 324, 213, 213, 428, 220
2 162, 213, 213, 214, 110
3 81, 213, 213, 107, 55
71 27, 71, 71, 107, 55
27, 1, 1, 107, 55

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

2 x 2 x 2 x 3 x 71 x 27 x 1 x 1 x 107 x 55 = 270757080

Therefore, the lowest common multiple of 648,426,213,856,440 is 270757080.

LCM Formula to Find Lowest Common Multiple of 648,426,213,856,440

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 426 x 213 x 856 x 440 = 22145763087360

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

213 : 1, 3, 71, 213

856 : 1, 2, 4, 8, 107, 214, 428, 856

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,426,213,856,440, is 1.

Now, the common factors can be found like this.

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

426:2x 3x 71

213:3x 71

856:2x 2x 2x 107

440:2x 2x 2x 5x 11

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 2x 3x 3x 71 = 81792

Therefore, the value for common factors is 81792.

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 = 22145763087360/(1x81792)

LCM = 22145763087360/81792

LCM = 270757080

Thus, we can understand that the LCM of 648,426,213,856,440 is 270757080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 426, 213, 856, 440

1. What is the LCM of 648, 426, 213, 856, 440?

Answer: LCM of 648, 426, 213, 856, 440 is 270757080.

2. How to calculate the LCM of 648, 426, 213, 856, 440?

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, 426, 213, 856, 440.

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}.