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 387, 169, 518, 146

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


Find the LCM of 387, 169, 518, 146 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 387, 169, 518, 146. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,169,518,146

Given numbers are 387,169,518,146

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

The LCM of 387,169,518,146 is 2473149042.

Find LCM of 387,169,518,146 with Prime Factorization


2 387, 169, 518, 146
387, 169, 259, 73

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

2 x 387 x 169 x 259 x 73 = 2473149042

Therefore, the lowest common multiple of 387,169,518,146 is 2473149042.

LCM Formula to Find Lowest Common Multiple of 387,169,518,146

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.

387 x 169 x 518 x 146 = 4946298084

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.

387 : 1, 3, 9, 43, 129, 387

169 : 1, 13, 169

518 : 1, 2, 7, 14, 37, 74, 259, 518

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,169,518,146, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

169:13x 13

518:2x 7x 37

146:2x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4946298084/(1x2)

LCM = 4946298084/2

LCM = 2473149042

Thus, we can understand that the LCM of 387,169,518,146 is 2473149042.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 169, 518, 146

1. What is the LCM of 387, 169, 518, 146?

Answer: LCM of 387, 169, 518, 146 is 2473149042.

2. How to calculate the LCM of 387, 169, 518, 146?

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 387, 169, 518, 146.

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}.