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LCM of 842, 901, 493, 959

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


Find the LCM of 842, 901, 493, 959 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 842, 901, 493, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,901,493,959

Given numbers are 842,901,493,959

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

The LCM of 842,901,493,959 is 21098592662.

Find LCM of 842,901,493,959 with Prime Factorization


17 842, 901, 493, 959
842, 53, 29, 959

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

17 x 842 x 53 x 29 x 959 = 21098592662

Therefore, the lowest common multiple of 842,901,493,959 is 21098592662.

LCM Formula to Find Lowest Common Multiple of 842,901,493,959

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.

842 x 901 x 493 x 959 = 358676075254

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.

842 : 1, 2, 421, 842

901 : 1, 17, 53, 901

493 : 1, 17, 29, 493

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,901,493,959, is 1.

Now, the common factors can be found like this.

842:2x 421

901:17x 53

493:17x 29

959:7x 137

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

17 = 17

Therefore, the value for common factors is 17.

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 = 358676075254/(1x17)

LCM = 358676075254/17

LCM = 21098592662

Thus, we can understand that the LCM of 842,901,493,959 is 21098592662.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 901, 493, 959

1. What is the LCM of 842, 901, 493, 959?

Answer: LCM of 842, 901, 493, 959 is 21098592662.

2. How to calculate the LCM of 842, 901, 493, 959?

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 842, 901, 493, 959.

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}.