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 143, 832, 429, 517

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


Find the LCM of 143, 832, 429, 517 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 143, 832, 429, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,832,429,517

Given numbers are 143,832,429,517

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

The LCM of 143,832,429,517 is 1290432.

Find LCM of 143,832,429,517 with Prime Factorization


11 143, 832, 429, 517
13 13, 832, 39, 47
1, 64, 3, 47

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

11 x 13 x 1 x 64 x 3 x 47 = 1290432

Therefore, the lowest common multiple of 143,832,429,517 is 1290432.

LCM Formula to Find Lowest Common Multiple of 143,832,429,517

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.

143 x 832 x 429 x 517 = 26388043968

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.

143 : 1, 11, 13, 143

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

429 : 1, 3, 11, 13, 33, 39, 143, 429

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,832,429,517, is 1.

Now, the common factors can be found like this.

143:11x 13

832:2x 2x 2x 2x 2x 2x 13

429:3x 11x 13

517:11x 47

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

11x 11x 13x 13 = 20449

Therefore, the value for common factors is 20449.

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 = 26388043968/(1x20449)

LCM = 26388043968/20449

LCM = 1290432

Thus, we can understand that the LCM of 143,832,429,517 is 1290432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 832, 429, 517

1. What is the LCM of 143, 832, 429, 517?

Answer: LCM of 143, 832, 429, 517 is 1290432.

2. How to calculate the LCM of 143, 832, 429, 517?

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 143, 832, 429, 517.

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}.