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LCM of 484, 714, 649, 404

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


Find the LCM of 484, 714, 649, 404 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 484, 714, 649, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,714,649,404

Given numbers are 484,714,649,404

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

The LCM of 484,714,649,404 is 1029643692.

Find LCM of 484,714,649,404 with Prime Factorization


2 484, 714, 649, 404
2 242, 357, 649, 202
11 121, 357, 649, 101
11, 357, 59, 101

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

2 x 2 x 11 x 11 x 357 x 59 x 101 = 1029643692

Therefore, the lowest common multiple of 484,714,649,404 is 1029643692.

LCM Formula to Find Lowest Common Multiple of 484,714,649,404

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.

484 x 714 x 649 x 404 = 90608644896

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

649 : 1, 11, 59, 649

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,714,649,404, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

714:2x 3x 7x 17

649:11x 59

404:2x 2x 101

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 11 = 88

Therefore, the value for common factors is 88.

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 = 90608644896/(1x88)

LCM = 90608644896/88

LCM = 1029643692

Thus, we can understand that the LCM of 484,714,649,404 is 1029643692.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 714, 649, 404

1. What is the LCM of 484, 714, 649, 404?

Answer: LCM of 484, 714, 649, 404 is 1029643692.

2. How to calculate the LCM of 484, 714, 649, 404?

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 484, 714, 649, 404.

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}.