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LCM of 318, 751, 753, 858

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


Find the LCM of 318, 751, 753, 858 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 318, 751, 753, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 318,751,753,858

Given numbers are 318,751,753,858

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

The LCM of 318,751,753,858 is 8571894474.

Find LCM of 318,751,753,858 with Prime Factorization


2 318, 751, 753, 858
3 159, 751, 753, 429
53, 751, 251, 143

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

2 x 3 x 53 x 751 x 251 x 143 = 8571894474

Therefore, the lowest common multiple of 318,751,753,858 is 8571894474.

LCM Formula to Find Lowest Common Multiple of 318,751,753,858

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.

318 x 751 x 753 x 858 = 154294100532

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

751 : 1, 751

753 : 1, 3, 251, 753

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,751,753,858, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

751:751

753:3x 251

858:2x 3x 11x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 154294100532/(1x18)

LCM = 154294100532/18

LCM = 8571894474

Thus, we can understand that the LCM of 318,751,753,858 is 8571894474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 318, 751, 753, 858

1. What is the LCM of 318, 751, 753, 858?

Answer: LCM of 318, 751, 753, 858 is 8571894474.

2. How to calculate the LCM of 318, 751, 753, 858?

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 318, 751, 753, 858.

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}.