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LCM of 276, 944, 484, 322, 472

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


Find the LCM of 276, 944, 484, 322, 472 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 276, 944, 484, 322, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,944,484,322,472

Given numbers are 276,944,484,322,472

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

The LCM of 276,944,484,322,472 is 55170192.

Find LCM of 276,944,484,322,472 with Prime Factorization


2 276, 944, 484, 322, 472
2 138, 472, 242, 161, 236
2 69, 118, 121, 161, 236
23 69, 59, 121, 161, 118
59 3, 59, 121, 7, 118
3, 1, 121, 7, 2

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

2 x 2 x 2 x 23 x 59 x 3 x 1 x 121 x 7 x 2 = 55170192

Therefore, the lowest common multiple of 276,944,484,322,472 is 55170192.

LCM Formula to Find Lowest Common Multiple of 276,944,484,322,472

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.

276 x 944 x 484 x 322 x 472 = 19165683339264

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

472 : 1, 2, 4, 8, 59, 118, 236, 472

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,944,484,322,472, is 2.

Now, the common factors can be found like this.

276:2x 2x 3x 23

944:2x 2x 2x 2x 59

484:2x 2x 11x 11

322:2x 7x 23

472:2x 2x 2x 59

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 2x 23x 59 = 173696

Therefore, the value for common factors is 173696.

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 = 19165683339264/(2x173696)

LCM = 19165683339264/347392

LCM = 55170192

Thus, we can understand that the LCM of 276,944,484,322,472 is 55170192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 944, 484, 322, 472

1. What is the LCM of 276, 944, 484, 322, 472?

Answer: LCM of 276, 944, 484, 322, 472 is 55170192.

2. How to calculate the LCM of 276, 944, 484, 322, 472?

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 276, 944, 484, 322, 472.

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}.