LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 141, 286, 858, 353

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


Find the LCM of 141, 286, 858, 353 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 141, 286, 858, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,286,858,353

Given numbers are 141,286,858,353

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

The LCM of 141,286,858,353 is 14235078.

Find LCM of 141,286,858,353 with Prime Factorization


2 141, 286, 858, 353
3 141, 143, 429, 353
11 47, 143, 143, 353
13 47, 13, 13, 353
47, 1, 1, 353

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

2 x 3 x 11 x 13 x 47 x 1 x 1 x 353 = 14235078

Therefore, the lowest common multiple of 141,286,858,353 is 14235078.

LCM Formula to Find Lowest Common Multiple of 141,286,858,353

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.

141 x 286 x 858 x 353 = 12213696924

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.

141 : 1, 3, 47, 141

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

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

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,286,858,353, is 1.

Now, the common factors can be found like this.

141:3x 47

286:2x 11x 13

858:2x 3x 11x 13

353:353

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

2x 3x 11x 13 = 858

Therefore, the value for common factors is 858.

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 = 12213696924/(1x858)

LCM = 12213696924/858

LCM = 14235078

Thus, we can understand that the LCM of 141,286,858,353 is 14235078.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 286, 858, 353

1. What is the LCM of 141, 286, 858, 353?

Answer: LCM of 141, 286, 858, 353 is 14235078.

2. How to calculate the LCM of 141, 286, 858, 353?

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 141, 286, 858, 353.

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}.