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LCM of 719, 871, 208, 858

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


Find the LCM of 719, 871, 208, 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 719, 871, 208, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,871,208,858

Given numbers are 719,871,208,858

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

The LCM of 719,871,208,858 is 330659472.

Find LCM of 719,871,208,858 with Prime Factorization


2 719, 871, 208, 858
13 719, 871, 104, 429
719, 67, 8, 33

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

2 x 13 x 719 x 67 x 8 x 33 = 330659472

Therefore, the lowest common multiple of 719,871,208,858 is 330659472.

LCM Formula to Find Lowest Common Multiple of 719,871,208,858

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.

719 x 871 x 208 x 858 = 111762901536

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.

719 : 1, 719

871 : 1, 13, 67, 871

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 719,871,208,858, is 1.

Now, the common factors can be found like this.

719:719

871:13x 67

208:2x 2x 2x 2x 13

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 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 111762901536/(1x338)

LCM = 111762901536/338

LCM = 330659472

Thus, we can understand that the LCM of 719,871,208,858 is 330659472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 871, 208, 858

1. What is the LCM of 719, 871, 208, 858?

Answer: LCM of 719, 871, 208, 858 is 330659472.

2. How to calculate the LCM of 719, 871, 208, 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 719, 871, 208, 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}.