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 464, 406, 476

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


Find the LCM of 464, 406, 476 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 464, 406, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,406,476

Given numbers are 464,406,476

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

The LCM of 464,406,476 is 55216.

Find LCM of 464,406,476 with Prime Factorization


2 464, 406, 476
2 232, 203, 238
7 116, 203, 119
29 116, 29, 17
4, 1, 17

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

2 x 2 x 7 x 29 x 4 x 1 x 17 = 55216

Therefore, the lowest common multiple of 464,406,476 is 55216.

LCM Formula to Find Lowest Common Multiple of 464,406,476

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.

464 x 406 x 476 = 89670784

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

406 : 1, 2, 7, 14, 29, 58, 203, 406

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,406,476, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

406:2x 7x 29

476:2x 2x 7x 17

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 7x 29 = 812

Therefore, the value for common factors is 812.

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 = 89670784/(2x812)

LCM = 89670784/1624

LCM = 55216

Thus, we can understand that the LCM of 464,406,476 is 55216.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 464, 406, 476

1. What is the LCM of 464, 406, 476?

Answer: LCM of 464, 406, 476 is 55216.

2. How to calculate the LCM of 464, 406, 476?

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 464, 406, 476.

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}.