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 348, 537, 478, 429

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


Find the LCM of 348, 537, 478, 429 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 348, 537, 478, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,537,478,429

Given numbers are 348,537,478,429

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

The LCM of 348,537,478,429 is 2128953684.

Find LCM of 348,537,478,429 with Prime Factorization


2 348, 537, 478, 429
3 174, 537, 239, 429
58, 179, 239, 143

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

2 x 3 x 58 x 179 x 239 x 143 = 2128953684

Therefore, the lowest common multiple of 348,537,478,429 is 2128953684.

LCM Formula to Find Lowest Common Multiple of 348,537,478,429

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.

348 x 537 x 478 x 429 = 38321166312

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

537 : 1, 3, 179, 537

478 : 1, 2, 239, 478

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,537,478,429, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

537:3x 179

478:2x 239

429:3x 11x 13

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 38321166312/(1x18)

LCM = 38321166312/18

LCM = 2128953684

Thus, we can understand that the LCM of 348,537,478,429 is 2128953684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 537, 478, 429

1. What is the LCM of 348, 537, 478, 429?

Answer: LCM of 348, 537, 478, 429 is 2128953684.

2. How to calculate the LCM of 348, 537, 478, 429?

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 348, 537, 478, 429.

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}.