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LCM of 429, 956, 259, 259, 859

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


Find the LCM of 429, 956, 259, 259, 859 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 429, 956, 259, 259, 859. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,956,259,259,859

Given numbers are 429,956,259,259,859

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

The LCM of 429,956,259,259,859 is 91244797644.

Find LCM of 429,956,259,259,859 with Prime Factorization


7 429, 956, 259, 259, 859
37 429, 956, 37, 37, 859
429, 956, 1, 1, 859

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

7 x 37 x 429 x 956 x 1 x 1 x 859 = 91244797644

Therefore, the lowest common multiple of 429,956,259,259,859 is 91244797644.

LCM Formula to Find Lowest Common Multiple of 429,956,259,259,859

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.

429 x 956 x 259 x 259 x 859 = 23632402589796

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

956 : 1, 2, 4, 239, 478, 956

259 : 1, 7, 37, 259

259 : 1, 7, 37, 259

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,956,259,259,859, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

956:2x 2x 239

259:7x 37

259:7x 37

859:859

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

7x 37 = 259

Therefore, the value for common factors is 259.

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 = 23632402589796/(1x259)

LCM = 23632402589796/259

LCM = 91244797644

Thus, we can understand that the LCM of 429,956,259,259,859 is 91244797644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 956, 259, 259, 859

1. What is the LCM of 429, 956, 259, 259, 859?

Answer: LCM of 429, 956, 259, 259, 859 is 91244797644.

2. How to calculate the LCM of 429, 956, 259, 259, 859?

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 429, 956, 259, 259, 859.

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}.