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LCM of 993, 588, 424, 456, 940

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


Find the LCM of 993, 588, 424, 456, 940 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 993, 588, 424, 456, 940. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,588,424,456,940

Given numbers are 993,588,424,456,940

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

The LCM of 993,588,424,456,940 is 92115486120.

Find LCM of 993,588,424,456,940 with Prime Factorization


2 993, 588, 424, 456, 940
2 993, 294, 212, 228, 470
2 993, 147, 106, 114, 235
3 993, 147, 53, 57, 235
331, 49, 53, 19, 235

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

2 x 2 x 2 x 3 x 331 x 49 x 53 x 19 x 235 = 92115486120

Therefore, the lowest common multiple of 993,588,424,456,940 is 92115486120.

LCM Formula to Find Lowest Common Multiple of 993,588,424,456,940

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.

993 x 588 x 424 x 456 x 940 = 106117040010240

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.

993 : 1, 3, 331, 993

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

424 : 1, 2, 4, 8, 53, 106, 212, 424

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,588,424,456,940, is 1.

Now, the common factors can be found like this.

993:3x 331

588:2x 2x 3x 7x 7

424:2x 2x 2x 53

456:2x 2x 2x 3x 19

940:2x 2x 5x 47

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 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 106117040010240/(1x1152)

LCM = 106117040010240/1152

LCM = 92115486120

Thus, we can understand that the LCM of 993,588,424,456,940 is 92115486120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 588, 424, 456, 940

1. What is the LCM of 993, 588, 424, 456, 940?

Answer: LCM of 993, 588, 424, 456, 940 is 92115486120.

2. How to calculate the LCM of 993, 588, 424, 456, 940?

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 993, 588, 424, 456, 940.

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}.