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LCM of 745, 394, 519, 115, 684

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


Find the LCM of 745, 394, 519, 115, 684 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 745, 394, 519, 115, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,394,519,115,684

Given numbers are 745,394,519,115,684

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

The LCM of 745,394,519,115,684 is 399440907540.

Find LCM of 745,394,519,115,684 with Prime Factorization


2 745, 394, 519, 115, 684
3 745, 197, 519, 115, 342
5 745, 197, 173, 115, 114
149, 197, 173, 23, 114

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

2 x 3 x 5 x 149 x 197 x 173 x 23 x 114 = 399440907540

Therefore, the lowest common multiple of 745,394,519,115,684 is 399440907540.

LCM Formula to Find Lowest Common Multiple of 745,394,519,115,684

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.

745 x 394 x 519 x 115 x 684 = 11983227226200

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.

745 : 1, 5, 149, 745

394 : 1, 2, 197, 394

519 : 1, 3, 173, 519

115 : 1, 5, 23, 115

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,394,519,115,684, is 1.

Now, the common factors can be found like this.

745:5x 149

394:2x 197

519:3x 173

115:5x 23

684:2x 2x 3x 3x 19

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 5 = 30

Therefore, the value for common factors is 30.

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 = 11983227226200/(1x30)

LCM = 11983227226200/30

LCM = 399440907540

Thus, we can understand that the LCM of 745,394,519,115,684 is 399440907540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 394, 519, 115, 684

1. What is the LCM of 745, 394, 519, 115, 684?

Answer: LCM of 745, 394, 519, 115, 684 is 399440907540.

2. How to calculate the LCM of 745, 394, 519, 115, 684?

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 745, 394, 519, 115, 684.

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}.