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LCM of 735, 183, 578, 192, 293

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


Find the LCM of 735, 183, 578, 192, 293 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 735, 183, 578, 192, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,183,578,192,293

Given numbers are 735,183,578,192,293

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

The LCM of 735,183,578,192,293 is 242975570880.

Find LCM of 735,183,578,192,293 with Prime Factorization


2 735, 183, 578, 192, 293
3 735, 183, 289, 96, 293
245, 61, 289, 32, 293

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

2 x 3 x 245 x 61 x 289 x 32 x 293 = 242975570880

Therefore, the lowest common multiple of 735,183,578,192,293 is 242975570880.

LCM Formula to Find Lowest Common Multiple of 735,183,578,192,293

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.

735 x 183 x 578 x 192 x 293 = 4373560275840

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

183 : 1, 3, 61, 183

578 : 1, 2, 17, 34, 289, 578

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,183,578,192,293, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

183:3x 61

578:2x 17x 17

192:2x 2x 2x 2x 2x 2x 3

293:293

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 4373560275840/(1x18)

LCM = 4373560275840/18

LCM = 242975570880

Thus, we can understand that the LCM of 735,183,578,192,293 is 242975570880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 183, 578, 192, 293

1. What is the LCM of 735, 183, 578, 192, 293?

Answer: LCM of 735, 183, 578, 192, 293 is 242975570880.

2. How to calculate the LCM of 735, 183, 578, 192, 293?

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 735, 183, 578, 192, 293.

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}.