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LCM of 563, 524, 471, 140, 448

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


Find the LCM of 563, 524, 471, 140, 448 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 563, 524, 471, 140, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,524,471,140,448

Given numbers are 563,524,471,140,448

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

The LCM of 563,524,471,140,448 is 77812365120.

Find LCM of 563,524,471,140,448 with Prime Factorization


2 563, 524, 471, 140, 448
2 563, 262, 471, 70, 224
7 563, 131, 471, 35, 112
563, 131, 471, 5, 16

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

2 x 2 x 7 x 563 x 131 x 471 x 5 x 16 = 77812365120

Therefore, the lowest common multiple of 563,524,471,140,448 is 77812365120.

LCM Formula to Find Lowest Common Multiple of 563,524,471,140,448

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.

563 x 524 x 471 x 140 x 448 = 8714984893440

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.

563 : 1, 563

524 : 1, 2, 4, 131, 262, 524

471 : 1, 3, 157, 471

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,524,471,140,448, is 1.

Now, the common factors can be found like this.

563:563

524:2x 2x 131

471:3x 157

140:2x 2x 5x 7

448:2x 2x 2x 2x 2x 2x 7

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 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 8714984893440/(1x112)

LCM = 8714984893440/112

LCM = 77812365120

Thus, we can understand that the LCM of 563,524,471,140,448 is 77812365120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 524, 471, 140, 448

1. What is the LCM of 563, 524, 471, 140, 448?

Answer: LCM of 563, 524, 471, 140, 448 is 77812365120.

2. How to calculate the LCM of 563, 524, 471, 140, 448?

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 563, 524, 471, 140, 448.

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}.