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LCM of 301, 820, 301, 629

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


Find the LCM of 301, 820, 301, 629 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 301, 820, 301, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,820,301,629

Given numbers are 301,820,301,629

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

The LCM of 301,820,301,629 is 155249780.

Find LCM of 301,820,301,629 with Prime Factorization


7 301, 820, 301, 629
43 43, 820, 43, 629
1, 820, 1, 629

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

7 x 43 x 1 x 820 x 1 x 629 = 155249780

Therefore, the lowest common multiple of 301,820,301,629 is 155249780.

LCM Formula to Find Lowest Common Multiple of 301,820,301,629

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.

301 x 820 x 301 x 629 = 46730183780

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.

301 : 1, 7, 43, 301

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

301 : 1, 7, 43, 301

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,820,301,629, is 1.

Now, the common factors can be found like this.

301:7x 43

820:2x 2x 5x 41

301:7x 43

629:17x 37

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

7x 43 = 301

Therefore, the value for common factors is 301.

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 = 46730183780/(1x301)

LCM = 46730183780/301

LCM = 155249780

Thus, we can understand that the LCM of 301,820,301,629 is 155249780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 820, 301, 629

1. What is the LCM of 301, 820, 301, 629?

Answer: LCM of 301, 820, 301, 629 is 155249780.

2. How to calculate the LCM of 301, 820, 301, 629?

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 301, 820, 301, 629.

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}.