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LCM of 598, 922, 484, 544, 648

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


Find the LCM of 598, 922, 484, 544, 648 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 598, 922, 484, 544, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,922,484,544,648

Given numbers are 598,922,484,544,648

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

The LCM of 598,922,484,544,648 is 734922261216.

Find LCM of 598,922,484,544,648 with Prime Factorization


2 598, 922, 484, 544, 648
2 299, 461, 242, 272, 324
2 299, 461, 121, 136, 162
299, 461, 121, 68, 81

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

2 x 2 x 2 x 299 x 461 x 121 x 68 x 81 = 734922261216

Therefore, the lowest common multiple of 598,922,484,544,648 is 734922261216.

LCM Formula to Find Lowest Common Multiple of 598,922,484,544,648

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.

598 x 922 x 484 x 544 x 648 = 94070049435648

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

922 : 1, 2, 461, 922

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,922,484,544,648, is 2.

Now, the common factors can be found like this.

598:2x 13x 23

922:2x 461

484:2x 2x 11x 11

544:2x 2x 2x 2x 2x 17

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

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 2 = 64

Therefore, the value for common factors is 64.

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 = 94070049435648/(2x64)

LCM = 94070049435648/128

LCM = 734922261216

Thus, we can understand that the LCM of 598,922,484,544,648 is 734922261216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 922, 484, 544, 648

1. What is the LCM of 598, 922, 484, 544, 648?

Answer: LCM of 598, 922, 484, 544, 648 is 734922261216.

2. How to calculate the LCM of 598, 922, 484, 544, 648?

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 598, 922, 484, 544, 648.

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}.