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LCM of 284, 403, 305, 658, 945

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


Find the LCM of 284, 403, 305, 658, 945 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 284, 403, 305, 658, 945. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 284,403,305,658,945

Given numbers are 284,403,305,658,945

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

The LCM of 284,403,305,658,945 is 310086520380.

Find LCM of 284,403,305,658,945 with Prime Factorization


2 284, 403, 305, 658, 945
5 142, 403, 305, 329, 945
7 142, 403, 61, 329, 189
142, 403, 61, 47, 27

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

2 x 5 x 7 x 142 x 403 x 61 x 47 x 27 = 310086520380

Therefore, the lowest common multiple of 284,403,305,658,945 is 310086520380.

LCM Formula to Find Lowest Common Multiple of 284,403,305,658,945

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.

284 x 403 x 305 x 658 x 945 = 21706056426600

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.

284 : 1, 2, 4, 71, 142, 284

403 : 1, 13, 31, 403

305 : 1, 5, 61, 305

658 : 1, 2, 7, 14, 47, 94, 329, 658

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,403,305,658,945, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

403:13x 31

305:5x 61

658:2x 7x 47

945:3x 3x 3x 5x 7

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

2x 5x 7 = 70

Therefore, the value for common factors is 70.

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 = 21706056426600/(1x70)

LCM = 21706056426600/70

LCM = 310086520380

Thus, we can understand that the LCM of 284,403,305,658,945 is 310086520380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 284, 403, 305, 658, 945

1. What is the LCM of 284, 403, 305, 658, 945?

Answer: LCM of 284, 403, 305, 658, 945 is 310086520380.

2. How to calculate the LCM of 284, 403, 305, 658, 945?

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 284, 403, 305, 658, 945.

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}.