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LCM of 858, 542, 419, 910

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


Find the LCM of 858, 542, 419, 910 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, 542, 419, 910. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,542,419,910

Given numbers are 858,542,419,910

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

The LCM of 858,542,419,910 is 3409876470.

Find LCM of 858,542,419,910 with Prime Factorization


2 858, 542, 419, 910
13 429, 271, 419, 455
33, 271, 419, 35

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

2 x 13 x 33 x 271 x 419 x 35 = 3409876470

Therefore, the lowest common multiple of 858,542,419,910 is 3409876470.

LCM Formula to Find Lowest Common Multiple of 858,542,419,910

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 542 x 419 x 910 = 177313576440

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

542 : 1, 2, 271, 542

419 : 1, 419

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,542,419,910, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

542:2x 271

419:419

910:2x 5x 7x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 177313576440/(1x52)

LCM = 177313576440/52

LCM = 3409876470

Thus, we can understand that the LCM of 858,542,419,910 is 3409876470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 542, 419, 910

1. What is the LCM of 858, 542, 419, 910?

Answer: LCM of 858, 542, 419, 910 is 3409876470.

2. How to calculate the LCM of 858, 542, 419, 910?

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, 542, 419, 910.

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}.