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LCM of 423, 599, 169, 286

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


Find the LCM of 423, 599, 169, 286 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 423, 599, 169, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 423,599,169,286

Given numbers are 423,599,169,286

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

The LCM of 423,599,169,286 is 942055686.

Find LCM of 423,599,169,286 with Prime Factorization


13 423, 599, 169, 286
423, 599, 13, 22

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

13 x 423 x 599 x 13 x 22 = 942055686

Therefore, the lowest common multiple of 423,599,169,286 is 942055686.

LCM Formula to Find Lowest Common Multiple of 423,599,169,286

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.

423 x 599 x 169 x 286 = 12246723918

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.

423 : 1, 3, 9, 47, 141, 423

599 : 1, 599

169 : 1, 13, 169

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,599,169,286, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

599:599

169:13x 13

286:2x 11x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 12246723918/(1x13)

LCM = 12246723918/13

LCM = 942055686

Thus, we can understand that the LCM of 423,599,169,286 is 942055686.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 423, 599, 169, 286

1. What is the LCM of 423, 599, 169, 286?

Answer: LCM of 423, 599, 169, 286 is 942055686.

2. How to calculate the LCM of 423, 599, 169, 286?

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 423, 599, 169, 286.

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}.