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 354, 846, 466, 441

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


Find the LCM of 354, 846, 466, 441 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 354, 846, 466, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 354,846,466,441

Given numbers are 354,846,466,441

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

The LCM of 354,846,466,441 is 569868138.

Find LCM of 354,846,466,441 with Prime Factorization


2 354, 846, 466, 441
3 177, 423, 233, 441
3 59, 141, 233, 147
59, 47, 233, 49

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

2 x 3 x 3 x 59 x 47 x 233 x 49 = 569868138

Therefore, the lowest common multiple of 354,846,466,441 is 569868138.

LCM Formula to Find Lowest Common Multiple of 354,846,466,441

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.

354 x 846 x 466 x 441 = 61545758904

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

466 : 1, 2, 233, 466

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,846,466,441, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

846:2x 3x 3x 47

466:2x 233

441:3x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 61545758904/(1x108)

LCM = 61545758904/108

LCM = 569868138

Thus, we can understand that the LCM of 354,846,466,441 is 569868138.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 354, 846, 466, 441

1. What is the LCM of 354, 846, 466, 441?

Answer: LCM of 354, 846, 466, 441 is 569868138.

2. How to calculate the LCM of 354, 846, 466, 441?

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 354, 846, 466, 441.

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}.