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LCM of 375, 894, 309, 149

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


Find the LCM of 375, 894, 309, 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 375, 894, 309, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 375,894,309,149

Given numbers are 375,894,309,149

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

The LCM of 375,894,309,149 is 11510250.

Find LCM of 375,894,309,149 with Prime Factorization


3 375, 894, 309, 149
149 125, 298, 103, 149
125, 2, 103, 1

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

3 x 149 x 125 x 2 x 103 x 1 = 11510250

Therefore, the lowest common multiple of 375,894,309,149 is 11510250.

LCM Formula to Find Lowest Common Multiple of 375,894,309,149

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.

375 x 894 x 309 x 149 = 15435245250

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.

375 : 1, 3, 5, 15, 25, 75, 125, 375

894 : 1, 2, 3, 6, 149, 298, 447, 894

309 : 1, 3, 103, 309

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,894,309,149, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

894:2x 3x 149

309:3x 103

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.

3x 3x 149 = 1341

Therefore, the value for common factors is 1341.

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 = 15435245250/(1x1341)

LCM = 15435245250/1341

LCM = 11510250

Thus, we can understand that the LCM of 375,894,309,149 is 11510250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 375, 894, 309, 149

1. What is the LCM of 375, 894, 309, 149?

Answer: LCM of 375, 894, 309, 149 is 11510250.

2. How to calculate the LCM of 375, 894, 309, 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 375, 894, 309, 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}.