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LCM of 757, 594, 813, 432, 503

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


Find the LCM of 757, 594, 813, 432, 503 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 757, 594, 813, 432, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,594,813,432,503

Given numbers are 757,594,813,432,503

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

The LCM of 757,594,813,432,503 is 490353847632.

Find LCM of 757,594,813,432,503 with Prime Factorization


2 757, 594, 813, 432, 503
3 757, 297, 813, 216, 503
3 757, 99, 271, 72, 503
3 757, 33, 271, 24, 503
757, 11, 271, 8, 503

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

2 x 3 x 3 x 3 x 757 x 11 x 271 x 8 x 503 = 490353847632

Therefore, the lowest common multiple of 757,594,813,432,503 is 490353847632.

LCM Formula to Find Lowest Common Multiple of 757,594,813,432,503

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.

757 x 594 x 813 x 432 x 503 = 79437323316384

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.

757 : 1, 757

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

813 : 1, 3, 271, 813

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,594,813,432,503, is 1.

Now, the common factors can be found like this.

757:757

594:2x 3x 3x 3x 11

813:3x 271

432:2x 2x 2x 2x 3x 3x 3

503:503

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 79437323316384/(1x162)

LCM = 79437323316384/162

LCM = 490353847632

Thus, we can understand that the LCM of 757,594,813,432,503 is 490353847632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 594, 813, 432, 503

1. What is the LCM of 757, 594, 813, 432, 503?

Answer: LCM of 757, 594, 813, 432, 503 is 490353847632.

2. How to calculate the LCM of 757, 594, 813, 432, 503?

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 757, 594, 813, 432, 503.

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}.