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LCM of 924, 449, 449, 562

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


Find the LCM of 924, 449, 449, 562 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 924, 449, 449, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,449,449,562

Given numbers are 924,449,449,562

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

The LCM of 924,449,449,562 is 116580156.

Find LCM of 924,449,449,562 with Prime Factorization


2 924, 449, 449, 562
449 462, 449, 449, 281
462, 1, 1, 281

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

2 x 449 x 462 x 1 x 1 x 281 = 116580156

Therefore, the lowest common multiple of 924,449,449,562 is 116580156.

LCM Formula to Find Lowest Common Multiple of 924,449,449,562

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.

924 x 449 x 449 x 562 = 104688980088

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.

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

449 : 1, 449

449 : 1, 449

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,449,449,562, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

449:449

449:449

562:2x 281

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

2x 449 = 898

Therefore, the value for common factors is 898.

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 = 104688980088/(1x898)

LCM = 104688980088/898

LCM = 116580156

Thus, we can understand that the LCM of 924,449,449,562 is 116580156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 449, 449, 562

1. What is the LCM of 924, 449, 449, 562?

Answer: LCM of 924, 449, 449, 562 is 116580156.

2. How to calculate the LCM of 924, 449, 449, 562?

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 924, 449, 449, 562.

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}.