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LCM of 596, 544, 441, 510

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


Find the LCM of 596, 544, 441, 510 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 596, 544, 441, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,544,441,510

Given numbers are 596,544,441,510

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

The LCM of 596,544,441,510 is 178728480.

Find LCM of 596,544,441,510 with Prime Factorization


2 596, 544, 441, 510
2 298, 272, 441, 255
3 149, 136, 441, 255
17 149, 136, 147, 85
149, 8, 147, 5

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

2 x 2 x 3 x 17 x 149 x 8 x 147 x 5 = 178728480

Therefore, the lowest common multiple of 596,544,441,510 is 178728480.

LCM Formula to Find Lowest Common Multiple of 596,544,441,510

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.

596 x 544 x 441 x 510 = 72921219840

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.

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

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,544,441,510, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

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

441:3x 3x 7x 7

510:2x 3x 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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 72921219840/(1x408)

LCM = 72921219840/408

LCM = 178728480

Thus, we can understand that the LCM of 596,544,441,510 is 178728480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 544, 441, 510

1. What is the LCM of 596, 544, 441, 510?

Answer: LCM of 596, 544, 441, 510 is 178728480.

2. How to calculate the LCM of 596, 544, 441, 510?

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 596, 544, 441, 510.

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}.