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LCM of 449, 527, 784, 775

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


Find the LCM of 449, 527, 784, 775 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 449, 527, 784, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,527,784,775

Given numbers are 449,527,784,775

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

The LCM of 449,527,784,775 is 4637810800.

Find LCM of 449,527,784,775 with Prime Factorization


31 449, 527, 784, 775
449, 17, 784, 25

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

31 x 449 x 17 x 784 x 25 = 4637810800

Therefore, the lowest common multiple of 449,527,784,775 is 4637810800.

LCM Formula to Find Lowest Common Multiple of 449,527,784,775

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.

449 x 527 x 784 x 775 = 143772134800

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.

449 : 1, 449

527 : 1, 17, 31, 527

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,527,784,775, is 1.

Now, the common factors can be found like this.

449:449

527:17x 31

784:2x 2x 2x 2x 7x 7

775:5x 5x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 143772134800/(1x31)

LCM = 143772134800/31

LCM = 4637810800

Thus, we can understand that the LCM of 449,527,784,775 is 4637810800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 527, 784, 775

1. What is the LCM of 449, 527, 784, 775?

Answer: LCM of 449, 527, 784, 775 is 4637810800.

2. How to calculate the LCM of 449, 527, 784, 775?

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 449, 527, 784, 775.

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}.