LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 414, 375, 254, 300, 849

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


Find the LCM of 414, 375, 254, 300, 849 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 414, 375, 254, 300, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 414,375,254,300,849

Given numbers are 414,375,254,300,849

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

The LCM of 414,375,254,300,849 is 3719893500.

Find LCM of 414,375,254,300,849 with Prime Factorization


2 414, 375, 254, 300, 849
3 207, 375, 127, 150, 849
5 69, 125, 127, 50, 283
5 69, 25, 127, 10, 283
69, 5, 127, 2, 283

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

2 x 3 x 5 x 5 x 69 x 5 x 127 x 2 x 283 = 3719893500

Therefore, the lowest common multiple of 414,375,254,300,849 is 3719893500.

LCM Formula to Find Lowest Common Multiple of 414,375,254,300,849

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.

414 x 375 x 254 x 300 x 849 = 10043712450000

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

254 : 1, 2, 127, 254

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,375,254,300,849, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

375:3x 5x 5x 5

254:2x 127

300:2x 2x 3x 5x 5

849:3x 283

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 3x 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 10043712450000/(1x2700)

LCM = 10043712450000/2700

LCM = 3719893500

Thus, we can understand that the LCM of 414,375,254,300,849 is 3719893500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 414, 375, 254, 300, 849

1. What is the LCM of 414, 375, 254, 300, 849?

Answer: LCM of 414, 375, 254, 300, 849 is 3719893500.

2. How to calculate the LCM of 414, 375, 254, 300, 849?

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 414, 375, 254, 300, 849.

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}.