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LCM of 302, 169, 507, 347

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


Find the LCM of 302, 169, 507, 347 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 302, 169, 507, 347. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,169,507,347

Given numbers are 302,169,507,347

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

The LCM of 302,169,507,347 is 53130558.

Find LCM of 302,169,507,347 with Prime Factorization


13 302, 169, 507, 347
13 302, 13, 39, 347
302, 1, 3, 347

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

13 x 13 x 302 x 1 x 3 x 347 = 53130558

Therefore, the lowest common multiple of 302,169,507,347 is 53130558.

LCM Formula to Find Lowest Common Multiple of 302,169,507,347

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.

302 x 169 x 507 x 347 = 8979064302

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.

302 : 1, 2, 151, 302

169 : 1, 13, 169

507 : 1, 3, 13, 39, 169, 507

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,169,507,347, is 1.

Now, the common factors can be found like this.

302:2x 151

169:13x 13

507:3x 13x 13

347:347

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 8979064302/(1x169)

LCM = 8979064302/169

LCM = 53130558

Thus, we can understand that the LCM of 302,169,507,347 is 53130558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 169, 507, 347

1. What is the LCM of 302, 169, 507, 347?

Answer: LCM of 302, 169, 507, 347 is 53130558.

2. How to calculate the LCM of 302, 169, 507, 347?

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 302, 169, 507, 347.

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}.