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 514, 514, 138, 510, 147

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


Find the LCM of 514, 514, 138, 510, 147 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 514, 514, 138, 510, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,514,138,510,147

Given numbers are 514,514,138,510,147

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

The LCM of 514,514,138,510,147 is 147715890.

Find LCM of 514,514,138,510,147 with Prime Factorization


2 514, 514, 138, 510, 147
3 257, 257, 69, 255, 147
257 257, 257, 23, 85, 49
1, 1, 23, 85, 49

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

2 x 3 x 257 x 1 x 1 x 23 x 85 x 49 = 147715890

Therefore, the lowest common multiple of 514,514,138,510,147 is 147715890.

LCM Formula to Find Lowest Common Multiple of 514,514,138,510,147

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.

514 x 514 x 138 x 510 x 147 = 2733334828560

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.

514 : 1, 2, 257, 514

514 : 1, 2, 257, 514

138 : 1, 2, 3, 6, 23, 46, 69, 138

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,514,138,510,147, is 1.

Now, the common factors can be found like this.

514:2x 257

514:2x 257

138:2x 3x 23

510:2x 3x 5x 17

147:3x 7x 7

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 2x 3x 3x 257 = 18504

Therefore, the value for common factors is 18504.

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 = 2733334828560/(1x18504)

LCM = 2733334828560/18504

LCM = 147715890

Thus, we can understand that the LCM of 514,514,138,510,147 is 147715890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 514, 138, 510, 147

1. What is the LCM of 514, 514, 138, 510, 147?

Answer: LCM of 514, 514, 138, 510, 147 is 147715890.

2. How to calculate the LCM of 514, 514, 138, 510, 147?

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 514, 514, 138, 510, 147.

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}.