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LCM of 858, 956, 218, 520

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


Find the LCM of 858, 956, 218, 520 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, 956, 218, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,956,218,520

Given numbers are 858,956,218,520

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

The LCM of 858,956,218,520 is 447035160.

Find LCM of 858,956,218,520 with Prime Factorization


2 858, 956, 218, 520
2 429, 478, 109, 260
13 429, 239, 109, 130
33, 239, 109, 10

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

2 x 2 x 13 x 33 x 239 x 109 x 10 = 447035160

Therefore, the lowest common multiple of 858,956,218,520 is 447035160.

LCM Formula to Find Lowest Common Multiple of 858,956,218,520

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 956 x 218 x 520 = 92983313280

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

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

218 : 1, 2, 109, 218

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,956,218,520, is 2.

Now, the common factors can be found like this.

858:2x 3x 11x 13

956:2x 2x 239

218:2x 109

520:2x 2x 2x 5x 13

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

2x 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 92983313280/(2x104)

LCM = 92983313280/208

LCM = 447035160

Thus, we can understand that the LCM of 858,956,218,520 is 447035160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 956, 218, 520

1. What is the LCM of 858, 956, 218, 520?

Answer: LCM of 858, 956, 218, 520 is 447035160.

2. How to calculate the LCM of 858, 956, 218, 520?

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, 956, 218, 520.

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}.