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LCM of 437, 571, 506, 824

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


Find the LCM of 437, 571, 506, 824 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 437, 571, 506, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,571,506,824

Given numbers are 437,571,506,824

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

The LCM of 437,571,506,824 is 2261712728.

Find LCM of 437,571,506,824 with Prime Factorization


2 437, 571, 506, 824
23 437, 571, 253, 412
19, 571, 11, 412

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

2 x 23 x 19 x 571 x 11 x 412 = 2261712728

Therefore, the lowest common multiple of 437,571,506,824 is 2261712728.

LCM Formula to Find Lowest Common Multiple of 437,571,506,824

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.

437 x 571 x 506 x 824 = 104038785488

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.

437 : 1, 19, 23, 437

571 : 1, 571

506 : 1, 2, 11, 22, 23, 46, 253, 506

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,571,506,824, is 1.

Now, the common factors can be found like this.

437:19x 23

571:571

506:2x 11x 23

824:2x 2x 2x 103

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 104038785488/(1x46)

LCM = 104038785488/46

LCM = 2261712728

Thus, we can understand that the LCM of 437,571,506,824 is 2261712728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 571, 506, 824

1. What is the LCM of 437, 571, 506, 824?

Answer: LCM of 437, 571, 506, 824 is 2261712728.

2. How to calculate the LCM of 437, 571, 506, 824?

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 437, 571, 506, 824.

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}.