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LCM of 449, 620, 361, 893

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


Find the LCM of 449, 620, 361, 893 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 449, 620, 361, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,620,361,893

Given numbers are 449,620,361,893

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

The LCM of 449,620,361,893 is 4723273460.

Find LCM of 449,620,361,893 with Prime Factorization


19 449, 620, 361, 893
449, 620, 19, 47

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

19 x 449 x 620 x 19 x 47 = 4723273460

Therefore, the lowest common multiple of 449,620,361,893 is 4723273460.

LCM Formula to Find Lowest Common Multiple of 449,620,361,893

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.

449 x 620 x 361 x 893 = 89742195740

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.

449 : 1, 449

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

361 : 1, 19, 361

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,620,361,893, is 1.

Now, the common factors can be found like this.

449:449

620:2x 2x 5x 31

361:19x 19

893:19x 47

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

19 = 19

Therefore, the value for common factors is 19.

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 = 89742195740/(1x19)

LCM = 89742195740/19

LCM = 4723273460

Thus, we can understand that the LCM of 449,620,361,893 is 4723273460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 620, 361, 893

1. What is the LCM of 449, 620, 361, 893?

Answer: LCM of 449, 620, 361, 893 is 4723273460.

2. How to calculate the LCM of 449, 620, 361, 893?

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 449, 620, 361, 893.

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}.