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LCM of 632, 372, 383, 394, 446

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


Find the LCM of 632, 372, 383, 394, 446 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 632, 372, 383, 394, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,372,383,394,446

Given numbers are 632,372,383,394,446

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

The LCM of 632,372,383,394,446 is 988939878648.

Find LCM of 632,372,383,394,446 with Prime Factorization


2 632, 372, 383, 394, 446
2 316, 186, 383, 197, 223
158, 93, 383, 197, 223

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

2 x 2 x 158 x 93 x 383 x 197 x 223 = 988939878648

Therefore, the lowest common multiple of 632,372,383,394,446 is 988939878648.

LCM Formula to Find Lowest Common Multiple of 632,372,383,394,446

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.

632 x 372 x 383 x 394 x 446 = 15823038058368

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

383 : 1, 383

394 : 1, 2, 197, 394

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,372,383,394,446, is 1.

Now, the common factors can be found like this.

632:2x 2x 2x 79

372:2x 2x 3x 31

383:383

394:2x 197

446:2x 223

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 2 = 16

Therefore, the value for common factors is 16.

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 = 15823038058368/(1x16)

LCM = 15823038058368/16

LCM = 988939878648

Thus, we can understand that the LCM of 632,372,383,394,446 is 988939878648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 372, 383, 394, 446

1. What is the LCM of 632, 372, 383, 394, 446?

Answer: LCM of 632, 372, 383, 394, 446 is 988939878648.

2. How to calculate the LCM of 632, 372, 383, 394, 446?

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 632, 372, 383, 394, 446.

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}.