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LCM of 503, 957, 334, 639, 396

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


Find the LCM of 503, 957, 334, 639, 396 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 503, 957, 334, 639, 396. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 503,957,334,639,396

Given numbers are 503,957,334,639,396

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

The LCM of 503,957,334,639,396 is 68491391364.

Find LCM of 503,957,334,639,396 with Prime Factorization


2 503, 957, 334, 639, 396
3 503, 957, 167, 639, 198
3 503, 319, 167, 213, 66
11 503, 319, 167, 71, 22
503, 29, 167, 71, 2

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

2 x 3 x 3 x 11 x 503 x 29 x 167 x 71 x 2 = 68491391364

Therefore, the lowest common multiple of 503,957,334,639,396 is 68491391364.

LCM Formula to Find Lowest Common Multiple of 503,957,334,639,396

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.

503 x 957 x 334 x 639 x 396 = 40683886470216

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.

503 : 1, 503

957 : 1, 3, 11, 29, 33, 87, 319, 957

334 : 1, 2, 167, 334

639 : 1, 3, 9, 71, 213, 639

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,957,334,639,396, is 1.

Now, the common factors can be found like this.

503:503

957:3x 11x 29

334:2x 167

639:3x 3x 71

396:2x 2x 3x 3x 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 3x 3x 3x 11 = 594

Therefore, the value for common factors is 594.

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 = 40683886470216/(1x594)

LCM = 40683886470216/594

LCM = 68491391364

Thus, we can understand that the LCM of 503,957,334,639,396 is 68491391364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 503, 957, 334, 639, 396

1. What is the LCM of 503, 957, 334, 639, 396?

Answer: LCM of 503, 957, 334, 639, 396 is 68491391364.

2. How to calculate the LCM of 503, 957, 334, 639, 396?

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 503, 957, 334, 639, 396.

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}.