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 529, 562, 138, 421

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


Find the LCM of 529, 562, 138, 421 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 529, 562, 138, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,562,138,421

Given numbers are 529,562,138,421

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

The LCM of 529,562,138,421 is 375487374.

Find LCM of 529,562,138,421 with Prime Factorization


2 529, 562, 138, 421
23 529, 281, 69, 421
23, 281, 3, 421

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

2 x 23 x 23 x 281 x 3 x 421 = 375487374

Therefore, the lowest common multiple of 529,562,138,421 is 375487374.

LCM Formula to Find Lowest Common Multiple of 529,562,138,421

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.

529 x 562 x 138 x 421 = 17272419204

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.

529 : 1, 23, 529

562 : 1, 2, 281, 562

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

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,562,138,421, is 1.

Now, the common factors can be found like this.

529:23x 23

562:2x 281

138:2x 3x 23

421:421

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 17272419204/(1x46)

LCM = 17272419204/46

LCM = 375487374

Thus, we can understand that the LCM of 529,562,138,421 is 375487374.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 562, 138, 421

1. What is the LCM of 529, 562, 138, 421?

Answer: LCM of 529, 562, 138, 421 is 375487374.

2. How to calculate the LCM of 529, 562, 138, 421?

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 529, 562, 138, 421.

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}.