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LCM of 433, 588, 842, 857

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


Find the LCM of 433, 588, 842, 857 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 433, 588, 842, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 433,588,842,857

Given numbers are 433,588,842,857

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

The LCM of 433,588,842,857 is 91860359388.

Find LCM of 433,588,842,857 with Prime Factorization


2 433, 588, 842, 857
433, 294, 421, 857

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

2 x 433 x 294 x 421 x 857 = 91860359388

Therefore, the lowest common multiple of 433,588,842,857 is 91860359388.

LCM Formula to Find Lowest Common Multiple of 433,588,842,857

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.

433 x 588 x 842 x 857 = 183720718776

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.

433 : 1, 433

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

842 : 1, 2, 421, 842

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,588,842,857, is 1.

Now, the common factors can be found like this.

433:433

588:2x 2x 3x 7x 7

842:2x 421

857:857

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

2 = 2

Therefore, the value for common factors is 2.

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 = 183720718776/(1x2)

LCM = 183720718776/2

LCM = 91860359388

Thus, we can understand that the LCM of 433,588,842,857 is 91860359388.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 433, 588, 842, 857

1. What is the LCM of 433, 588, 842, 857?

Answer: LCM of 433, 588, 842, 857 is 91860359388.

2. How to calculate the LCM of 433, 588, 842, 857?

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 433, 588, 842, 857.

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}.