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LCM of 226, 152, 160, 190

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


Find the LCM of 226, 152, 160, 190 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 226, 152, 160, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,152,160,190

Given numbers are 226,152,160,190

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

The LCM of 226,152,160,190 is 343520.

Find LCM of 226,152,160,190 with Prime Factorization


2 226, 152, 160, 190
2 113, 76, 80, 95
2 113, 38, 40, 95
5 113, 19, 20, 95
19 113, 19, 4, 19
113, 1, 4, 1

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

2 x 2 x 2 x 5 x 19 x 113 x 1 x 4 x 1 = 343520

Therefore, the lowest common multiple of 226,152,160,190 is 343520.

LCM Formula to Find Lowest Common Multiple of 226,152,160,190

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.

226 x 152 x 160 x 190 = 1044300800

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.

226 : 1, 2, 113, 226

152 : 1, 2, 4, 8, 19, 38, 76, 152

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

190 : 1, 2, 5, 10, 19, 38, 95, 190

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,152,160,190, is 2.

Now, the common factors can be found like this.

226:2x 113

152:2x 2x 2x 19

160:2x 2x 2x 2x 2x 5

190:2x 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 2x 2x 5x 19 = 1520

Therefore, the value for common factors is 1520.

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 = 1044300800/(2x1520)

LCM = 1044300800/3040

LCM = 343520

Thus, we can understand that the LCM of 226,152,160,190 is 343520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 152, 160, 190

1. What is the LCM of 226, 152, 160, 190?

Answer: LCM of 226, 152, 160, 190 is 343520.

2. How to calculate the LCM of 226, 152, 160, 190?

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 226, 152, 160, 190.

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}.