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LCM of 293, 436, 757, 198, 188

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


Find the LCM of 293, 436, 757, 198, 188 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, 436, 757, 198, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,436,757,198,188

Given numbers are 293,436,757,198,188

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

The LCM of 293,436,757,198,188 is 449969463108.

Find LCM of 293,436,757,198,188 with Prime Factorization


2 293, 436, 757, 198, 188
2 293, 218, 757, 99, 94
293, 109, 757, 99, 47

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

2 x 2 x 293 x 109 x 757 x 99 x 47 = 449969463108

Therefore, the lowest common multiple of 293,436,757,198,188 is 449969463108.

LCM Formula to Find Lowest Common Multiple of 293,436,757,198,188

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 436 x 757 x 198 x 188 = 3599755704864

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

436 : 1, 2, 4, 109, 218, 436

757 : 1, 757

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,436,757,198,188, is 1.

Now, the common factors can be found like this.

293:293

436:2x 2x 109

757:757

198:2x 3x 3x 11

188:2x 2x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 3599755704864/(1x8)

LCM = 3599755704864/8

LCM = 449969463108

Thus, we can understand that the LCM of 293,436,757,198,188 is 449969463108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 436, 757, 198, 188

1. What is the LCM of 293, 436, 757, 198, 188?

Answer: LCM of 293, 436, 757, 198, 188 is 449969463108.

2. How to calculate the LCM of 293, 436, 757, 198, 188?

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, 436, 757, 198, 188.

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}.