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LCM of 798, 909, 140, 494

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


Find the LCM of 798, 909, 140, 494 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 798, 909, 140, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,909,140,494

Given numbers are 798,909,140,494

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

The LCM of 798,909,140,494 is 31433220.

Find LCM of 798,909,140,494 with Prime Factorization


2 798, 909, 140, 494
3 399, 909, 70, 247
7 133, 303, 70, 247
19 19, 303, 10, 247
1, 303, 10, 13

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

2 x 3 x 7 x 19 x 1 x 303 x 10 x 13 = 31433220

Therefore, the lowest common multiple of 798,909,140,494 is 31433220.

LCM Formula to Find Lowest Common Multiple of 798,909,140,494

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.

798 x 909 x 140 x 494 = 50167419120

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

909 : 1, 3, 9, 101, 303, 909

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,909,140,494, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

909:3x 3x 101

140:2x 2x 5x 7

494:2x 13x 19

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 3x 7x 19 = 1596

Therefore, the value for common factors is 1596.

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 = 50167419120/(1x1596)

LCM = 50167419120/1596

LCM = 31433220

Thus, we can understand that the LCM of 798,909,140,494 is 31433220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 909, 140, 494

1. What is the LCM of 798, 909, 140, 494?

Answer: LCM of 798, 909, 140, 494 is 31433220.

2. How to calculate the LCM of 798, 909, 140, 494?

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 798, 909, 140, 494.

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}.