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LCM of 301, 218, 872, 695

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


Find the LCM of 301, 218, 872, 695 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, 218, 872, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,218,872,695

Given numbers are 301,218,872,695

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

The LCM of 301,218,872,695 is 182418040.

Find LCM of 301,218,872,695 with Prime Factorization


2 301, 218, 872, 695
109 301, 109, 436, 695
301, 1, 4, 695

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

2 x 109 x 301 x 1 x 4 x 695 = 182418040

Therefore, the lowest common multiple of 301,218,872,695 is 182418040.

LCM Formula to Find Lowest Common Multiple of 301,218,872,695

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 218 x 872 x 695 = 39767132720

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

218 : 1, 2, 109, 218

872 : 1, 2, 4, 8, 109, 218, 436, 872

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,218,872,695, is 1.

Now, the common factors can be found like this.

301:7x 43

218:2x 109

872:2x 2x 2x 109

695:5x 139

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 39767132720/(1x218)

LCM = 39767132720/218

LCM = 182418040

Thus, we can understand that the LCM of 301,218,872,695 is 182418040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 218, 872, 695

1. What is the LCM of 301, 218, 872, 695?

Answer: LCM of 301, 218, 872, 695 is 182418040.

2. How to calculate the LCM of 301, 218, 872, 695?

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, 218, 872, 695.

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}.