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 429, 962, 753, 778, 576

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


Find the LCM of 429, 962, 753, 778, 576 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 429, 962, 753, 778, 576. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,962,753,778,576

Given numbers are 429,962,753,778,576

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

The LCM of 429,962,753,778,576 is 297566178624.

Find LCM of 429,962,753,778,576 with Prime Factorization


2 429, 962, 753, 778, 576
3 429, 481, 753, 389, 288
13 143, 481, 251, 389, 96
11, 37, 251, 389, 96

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

2 x 3 x 13 x 11 x 37 x 251 x 389 x 96 = 297566178624

Therefore, the lowest common multiple of 429,962,753,778,576 is 297566178624.

LCM Formula to Find Lowest Common Multiple of 429,962,753,778,576

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.

429 x 962 x 753 x 778 x 576 = 139260971596032

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.

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

753 : 1, 3, 251, 753

778 : 1, 2, 389, 778

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,962,753,778,576, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

962:2x 13x 37

753:3x 251

778:2x 389

576:2x 2x 2x 2x 2x 2x 3x 3

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 13 = 468

Therefore, the value for common factors is 468.

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 = 139260971596032/(1x468)

LCM = 139260971596032/468

LCM = 297566178624

Thus, we can understand that the LCM of 429,962,753,778,576 is 297566178624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 962, 753, 778, 576

1. What is the LCM of 429, 962, 753, 778, 576?

Answer: LCM of 429, 962, 753, 778, 576 is 297566178624.

2. How to calculate the LCM of 429, 962, 753, 778, 576?

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 429, 962, 753, 778, 576.

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}.