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LCM of 381, 884, 119, 149

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


Find the LCM of 381, 884, 119, 149 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 381, 884, 119, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,884,119,149

Given numbers are 381,884,119,149

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

The LCM of 381,884,119,149 is 351286572.

Find LCM of 381,884,119,149 with Prime Factorization


17 381, 884, 119, 149
381, 52, 7, 149

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

17 x 381 x 52 x 7 x 149 = 351286572

Therefore, the lowest common multiple of 381,884,119,149 is 351286572.

LCM Formula to Find Lowest Common Multiple of 381,884,119,149

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.

381 x 884 x 119 x 149 = 5971871724

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.

381 : 1, 3, 127, 381

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

119 : 1, 7, 17, 119

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,884,119,149, is 1.

Now, the common factors can be found like this.

381:3x 127

884:2x 2x 13x 17

119:7x 17

149:149

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

17 = 17

Therefore, the value for common factors is 17.

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 = 5971871724/(1x17)

LCM = 5971871724/17

LCM = 351286572

Thus, we can understand that the LCM of 381,884,119,149 is 351286572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 884, 119, 149

1. What is the LCM of 381, 884, 119, 149?

Answer: LCM of 381, 884, 119, 149 is 351286572.

2. How to calculate the LCM of 381, 884, 119, 149?

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 381, 884, 119, 149.

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}.