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LCM of 293, 293, 772, 176, 475

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


Find the LCM of 293, 293, 772, 176, 475 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 293, 293, 772, 176, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,293,772,176,475

Given numbers are 293,293,772,176,475

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

The LCM of 293,293,772,176,475 is 4727496400.

Find LCM of 293,293,772,176,475 with Prime Factorization


2 293, 293, 772, 176, 475
2 293, 293, 386, 88, 475
293 293, 293, 193, 44, 475
1, 1, 193, 44, 475

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

2 x 2 x 293 x 1 x 1 x 193 x 44 x 475 = 4727496400

Therefore, the lowest common multiple of 293,293,772,176,475 is 4727496400.

LCM Formula to Find Lowest Common Multiple of 293,293,772,176,475

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.

293 x 293 x 772 x 176 x 475 = 5540625780800

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.

293 : 1, 293

293 : 1, 293

772 : 1, 2, 4, 193, 386, 772

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

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,293,772,176,475, is 1.

Now, the common factors can be found like this.

293:293

293:293

772:2x 2x 193

176:2x 2x 2x 2x 11

475:5x 5x 19

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 293 = 1172

Therefore, the value for common factors is 1172.

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 = 5540625780800/(1x1172)

LCM = 5540625780800/1172

LCM = 4727496400

Thus, we can understand that the LCM of 293,293,772,176,475 is 4727496400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 293, 772, 176, 475

1. What is the LCM of 293, 293, 772, 176, 475?

Answer: LCM of 293, 293, 772, 176, 475 is 4727496400.

2. How to calculate the LCM of 293, 293, 772, 176, 475?

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 293, 293, 772, 176, 475.

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}.