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LCM of 361, 509, 738, 904

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


Find the LCM of 361, 509, 738, 904 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 361, 509, 738, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,509,738,904

Given numbers are 361,509,738,904

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

The LCM of 361,509,738,904 is 61294256424.

Find LCM of 361,509,738,904 with Prime Factorization


2 361, 509, 738, 904
361, 509, 369, 452

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

2 x 361 x 509 x 369 x 452 = 61294256424

Therefore, the lowest common multiple of 361,509,738,904 is 61294256424.

LCM Formula to Find Lowest Common Multiple of 361,509,738,904

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.

361 x 509 x 738 x 904 = 122588512848

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.

361 : 1, 19, 361

509 : 1, 509

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,509,738,904, is 1.

Now, the common factors can be found like this.

361:19x 19

509:509

738:2x 3x 3x 41

904:2x 2x 2x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 122588512848/(1x2)

LCM = 122588512848/2

LCM = 61294256424

Thus, we can understand that the LCM of 361,509,738,904 is 61294256424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 509, 738, 904

1. What is the LCM of 361, 509, 738, 904?

Answer: LCM of 361, 509, 738, 904 is 61294256424.

2. How to calculate the LCM of 361, 509, 738, 904?

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 361, 509, 738, 904.

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}.