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LCM of 930, 341, 576, 176, 496

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


Find the LCM of 930, 341, 576, 176, 496 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 930, 341, 576, 176, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,341,576,176,496

Given numbers are 930,341,576,176,496

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

The LCM of 930,341,576,176,496 is 982080.

Find LCM of 930,341,576,176,496 with Prime Factorization


2 930, 341, 576, 176, 496
2 465, 341, 288, 88, 248
2 465, 341, 144, 44, 124
2 465, 341, 72, 22, 62
3 465, 341, 36, 11, 31
11 155, 341, 12, 11, 31
31 155, 31, 12, 1, 31
5, 1, 12, 1, 1

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

2 x 2 x 2 x 2 x 3 x 11 x 31 x 5 x 1 x 12 x 1 x 1 = 982080

Therefore, the lowest common multiple of 930,341,576,176,496 is 982080.

LCM Formula to Find Lowest Common Multiple of 930,341,576,176,496

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.

930 x 341 x 576 x 176 x 496 = 15946087956480

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

341 : 1, 11, 31, 341

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,341,576,176,496, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

341:11x 31

576:2x 2x 2x 2x 2x 2x 3x 3

176:2x 2x 2x 2x 11

496:2x 2x 2x 2x 31

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 2x 2x 3x 11x 31x 31 = 16237056

Therefore, the value for common factors is 16237056.

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 = 15946087956480/(1x16237056)

LCM = 15946087956480/16237056

LCM = 982080

Thus, we can understand that the LCM of 930,341,576,176,496 is 982080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 341, 576, 176, 496

1. What is the LCM of 930, 341, 576, 176, 496?

Answer: LCM of 930, 341, 576, 176, 496 is 982080.

2. How to calculate the LCM of 930, 341, 576, 176, 496?

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 930, 341, 576, 176, 496.

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}.