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LCM of 814, 558, 473, 924

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


Find the LCM of 814, 558, 473, 924 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 814, 558, 473, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,558,473,924

Given numbers are 814,558,473,924

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

The LCM of 814,558,473,924 is 136717812.

Find LCM of 814,558,473,924 with Prime Factorization


2 814, 558, 473, 924
3 407, 279, 473, 462
11 407, 93, 473, 154
37, 93, 43, 14

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

2 x 3 x 11 x 37 x 93 x 43 x 14 = 136717812

Therefore, the lowest common multiple of 814,558,473,924 is 136717812.

LCM Formula to Find Lowest Common Multiple of 814,558,473,924

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.

814 x 558 x 473 x 924 = 198514263024

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

473 : 1, 11, 43, 473

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,558,473,924, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

558:2x 3x 3x 31

473:11x 43

924:2x 2x 3x 7x 11

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 11x 11 = 1452

Therefore, the value for common factors is 1452.

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 = 198514263024/(1x1452)

LCM = 198514263024/1452

LCM = 136717812

Thus, we can understand that the LCM of 814,558,473,924 is 136717812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 558, 473, 924

1. What is the LCM of 814, 558, 473, 924?

Answer: LCM of 814, 558, 473, 924 is 136717812.

2. How to calculate the LCM of 814, 558, 473, 924?

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 814, 558, 473, 924.

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}.