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LCM of 315, 509, 248, 792, 346

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


Find the LCM of 315, 509, 248, 792, 346 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 315, 509, 248, 792, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,509,248,792,346

Given numbers are 315,509,248,792,346

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

The LCM of 315,509,248,792,346 is 75669141240.

Find LCM of 315,509,248,792,346 with Prime Factorization


2 315, 509, 248, 792, 346
2 315, 509, 124, 396, 173
2 315, 509, 62, 198, 173
3 315, 509, 31, 99, 173
3 105, 509, 31, 33, 173
35, 509, 31, 11, 173

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

2 x 2 x 2 x 3 x 3 x 35 x 509 x 31 x 11 x 173 = 75669141240

Therefore, the lowest common multiple of 315,509,248,792,346 is 75669141240.

LCM Formula to Find Lowest Common Multiple of 315,509,248,792,346

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.

315 x 509 x 248 x 792 x 346 = 10896356338560

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

509 : 1, 509

248 : 1, 2, 4, 8, 31, 62, 124, 248

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,509,248,792,346, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

509:509

248:2x 2x 2x 31

792:2x 2x 2x 3x 3x 11

346:2x 173

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 10896356338560/(1x144)

LCM = 10896356338560/144

LCM = 75669141240

Thus, we can understand that the LCM of 315,509,248,792,346 is 75669141240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 509, 248, 792, 346

1. What is the LCM of 315, 509, 248, 792, 346?

Answer: LCM of 315, 509, 248, 792, 346 is 75669141240.

2. How to calculate the LCM of 315, 509, 248, 792, 346?

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 315, 509, 248, 792, 346.

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}.