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LCM of 858, 121, 334, 433

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


Find the LCM of 858, 121, 334, 433 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 858, 121, 334, 433. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,121,334,433

Given numbers are 858,121,334,433

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

The LCM of 858,121,334,433 is 682471218.

Find LCM of 858,121,334,433 with Prime Factorization


2 858, 121, 334, 433
11 429, 121, 167, 433
39, 11, 167, 433

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

2 x 11 x 39 x 11 x 167 x 433 = 682471218

Therefore, the lowest common multiple of 858,121,334,433 is 682471218.

LCM Formula to Find Lowest Common Multiple of 858,121,334,433

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.

858 x 121 x 334 x 433 = 15014366796

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

121 : 1, 11, 121

334 : 1, 2, 167, 334

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,121,334,433, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

121:11x 11

334:2x 167

433:433

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 15014366796/(1x22)

LCM = 15014366796/22

LCM = 682471218

Thus, we can understand that the LCM of 858,121,334,433 is 682471218.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 121, 334, 433

1. What is the LCM of 858, 121, 334, 433?

Answer: LCM of 858, 121, 334, 433 is 682471218.

2. How to calculate the LCM of 858, 121, 334, 433?

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 858, 121, 334, 433.

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}.