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 334, 668, 735, 819

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


Find the LCM of 334, 668, 735, 819 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 334, 668, 735, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,668,735,819

Given numbers are 334,668,735,819

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

The LCM of 334,668,735,819 is 19148220.

Find LCM of 334,668,735,819 with Prime Factorization


2 334, 668, 735, 819
3 167, 334, 735, 819
7 167, 334, 245, 273
167 167, 334, 35, 39
1, 2, 35, 39

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

2 x 3 x 7 x 167 x 1 x 2 x 35 x 39 = 19148220

Therefore, the lowest common multiple of 334,668,735,819 is 19148220.

LCM Formula to Find Lowest Common Multiple of 334,668,735,819

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.

334 x 668 x 735 x 819 = 134305615080

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.

334 : 1, 2, 167, 334

668 : 1, 2, 4, 167, 334, 668

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,668,735,819, is 1.

Now, the common factors can be found like this.

334:2x 167

668:2x 2x 167

735:3x 5x 7x 7

819:3x 3x 7x 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 7x 167 = 7014

Therefore, the value for common factors is 7014.

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 = 134305615080/(1x7014)

LCM = 134305615080/7014

LCM = 19148220

Thus, we can understand that the LCM of 334,668,735,819 is 19148220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 668, 735, 819

1. What is the LCM of 334, 668, 735, 819?

Answer: LCM of 334, 668, 735, 819 is 19148220.

2. How to calculate the LCM of 334, 668, 735, 819?

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 334, 668, 735, 819.

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}.