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LCM of 524, 340, 369, 280, 263

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


Find the LCM of 524, 340, 369, 280, 263 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 524, 340, 369, 280, 263. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,340,369,280,263

Given numbers are 524,340,369,280,263

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

The LCM of 524,340,369,280,263 is 60514627320.

Find LCM of 524,340,369,280,263 with Prime Factorization


2 524, 340, 369, 280, 263
2 262, 170, 369, 140, 263
5 131, 85, 369, 70, 263
131, 17, 369, 14, 263

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

2 x 2 x 5 x 131 x 17 x 369 x 14 x 263 = 60514627320

Therefore, the lowest common multiple of 524,340,369,280,263 is 60514627320.

LCM Formula to Find Lowest Common Multiple of 524,340,369,280,263

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.

524 x 340 x 369 x 280 x 263 = 4841170185600

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.

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

369 : 1, 3, 9, 41, 123, 369

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,340,369,280,263, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

340:2x 2x 5x 17

369:3x 3x 41

280:2x 2x 2x 5x 7

263:263

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 5 = 80

Therefore, the value for common factors is 80.

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 = 4841170185600/(1x80)

LCM = 4841170185600/80

LCM = 60514627320

Thus, we can understand that the LCM of 524,340,369,280,263 is 60514627320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 340, 369, 280, 263

1. What is the LCM of 524, 340, 369, 280, 263?

Answer: LCM of 524, 340, 369, 280, 263 is 60514627320.

2. How to calculate the LCM of 524, 340, 369, 280, 263?

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 524, 340, 369, 280, 263.

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}.