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LCM of 198, 703, 188, 668

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


Find the LCM of 198, 703, 188, 668 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 198, 703, 188, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,703,188,668

Given numbers are 198,703,188,668

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

The LCM of 198,703,188,668 is 2185067412.

Find LCM of 198,703,188,668 with Prime Factorization


2 198, 703, 188, 668
2 99, 703, 94, 334
99, 703, 47, 167

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

2 x 2 x 99 x 703 x 47 x 167 = 2185067412

Therefore, the lowest common multiple of 198,703,188,668 is 2185067412.

LCM Formula to Find Lowest Common Multiple of 198,703,188,668

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.

198 x 703 x 188 x 668 = 17480539296

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.

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

703 : 1, 19, 37, 703

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

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,703,188,668, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

703:19x 37

188:2x 2x 47

668:2x 2x 167

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 = 17480539296/(1x8)

LCM = 17480539296/8

LCM = 2185067412

Thus, we can understand that the LCM of 198,703,188,668 is 2185067412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 703, 188, 668

1. What is the LCM of 198, 703, 188, 668?

Answer: LCM of 198, 703, 188, 668 is 2185067412.

2. How to calculate the LCM of 198, 703, 188, 668?

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 198, 703, 188, 668.

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}.