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LCM of 374, 148, 901, 191

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


Find the LCM of 374, 148, 901, 191 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 374, 148, 901, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,148,901,191

Given numbers are 374,148,901,191

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

The LCM of 374,148,901,191 is 280164148.

Find LCM of 374,148,901,191 with Prime Factorization


2 374, 148, 901, 191
17 187, 74, 901, 191
11, 74, 53, 191

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

2 x 17 x 11 x 74 x 53 x 191 = 280164148

Therefore, the lowest common multiple of 374,148,901,191 is 280164148.

LCM Formula to Find Lowest Common Multiple of 374,148,901,191

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.

374 x 148 x 901 x 191 = 9525581032

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

148 : 1, 2, 4, 37, 74, 148

901 : 1, 17, 53, 901

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,148,901,191, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

148:2x 2x 37

901:17x 53

191:191

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 9525581032/(1x34)

LCM = 9525581032/34

LCM = 280164148

Thus, we can understand that the LCM of 374,148,901,191 is 280164148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 148, 901, 191

1. What is the LCM of 374, 148, 901, 191?

Answer: LCM of 374, 148, 901, 191 is 280164148.

2. How to calculate the LCM of 374, 148, 901, 191?

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 374, 148, 901, 191.

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}.