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LCM of 484, 252, 894, 752, 396

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


Find the LCM of 484, 252, 894, 752, 396 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, 252, 894, 752, 396. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,252,894,752,396

Given numbers are 484,252,894,752,396

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

The LCM of 484,252,894,752,396 is 854141904.

Find LCM of 484,252,894,752,396 with Prime Factorization


2 484, 252, 894, 752, 396
2 242, 126, 447, 376, 198
3 121, 63, 447, 188, 99
3 121, 21, 149, 188, 33
11 121, 7, 149, 188, 11
1, 7, 149, 188, 11

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

2 x 2 x 3 x 3 x 11 x 1 x 7 x 149 x 188 x 11 = 854141904

Therefore, the lowest common multiple of 484,252,894,752,396 is 854141904.

LCM Formula to Find Lowest Common Multiple of 484,252,894,752,396

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 252 x 894 x 752 x 396 = 32471058622464

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

894 : 1, 2, 3, 6, 149, 298, 447, 894

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,252,894,752,396, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

252:2x 2x 3x 3x 7

894:2x 3x 149

752:2x 2x 2x 2x 47

396:2x 2x 3x 3x 11

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 2x 2x 3x 3x 3x 11 = 19008

Therefore, the value for common factors is 19008.

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 = 32471058622464/(2x19008)

LCM = 32471058622464/38016

LCM = 854141904

Thus, we can understand that the LCM of 484,252,894,752,396 is 854141904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 252, 894, 752, 396

1. What is the LCM of 484, 252, 894, 752, 396?

Answer: LCM of 484, 252, 894, 752, 396 is 854141904.

2. How to calculate the LCM of 484, 252, 894, 752, 396?

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, 252, 894, 752, 396.

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}.