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LCM of 144, 596, 598, 364

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


Find the LCM of 144, 596, 598, 364 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 144, 596, 598, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 144,596,598,364

Given numbers are 144,596,598,364

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

The LCM of 144,596,598,364 is 44907408.

Find LCM of 144,596,598,364 with Prime Factorization


2 144, 596, 598, 364
2 72, 298, 299, 182
13 36, 149, 299, 91
36, 149, 23, 7

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

2 x 2 x 13 x 36 x 149 x 23 x 7 = 44907408

Therefore, the lowest common multiple of 144,596,598,364 is 44907408.

LCM Formula to Find Lowest Common Multiple of 144,596,598,364

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.

144 x 596 x 598 x 364 = 18681481728

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

596 : 1, 2, 4, 149, 298, 596

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,596,598,364, is 2.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

596:2x 2x 149

598:2x 13x 23

364:2x 2x 7x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 18681481728/(2x208)

LCM = 18681481728/416

LCM = 44907408

Thus, we can understand that the LCM of 144,596,598,364 is 44907408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 144, 596, 598, 364

1. What is the LCM of 144, 596, 598, 364?

Answer: LCM of 144, 596, 598, 364 is 44907408.

2. How to calculate the LCM of 144, 596, 598, 364?

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 144, 596, 598, 364.

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}.