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LCM of 492, 375, 780, 289

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


Find the LCM of 492, 375, 780, 289 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 492, 375, 780, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 492,375,780,289

Given numbers are 492,375,780,289

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

The LCM of 492,375,780,289 is 231055500.

Find LCM of 492,375,780,289 with Prime Factorization


2 492, 375, 780, 289
2 246, 375, 390, 289
3 123, 375, 195, 289
5 41, 125, 65, 289
41, 25, 13, 289

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

2 x 2 x 3 x 5 x 41 x 25 x 13 x 289 = 231055500

Therefore, the lowest common multiple of 492,375,780,289 is 231055500.

LCM Formula to Find Lowest Common Multiple of 492,375,780,289

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.

492 x 375 x 780 x 289 = 41589990000

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

375 : 1, 3, 5, 15, 25, 75, 125, 375

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,375,780,289, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

375:3x 5x 5x 5

780:2x 2x 3x 5x 13

289:17x 17

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 41589990000/(1x180)

LCM = 41589990000/180

LCM = 231055500

Thus, we can understand that the LCM of 492,375,780,289 is 231055500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 492, 375, 780, 289

1. What is the LCM of 492, 375, 780, 289?

Answer: LCM of 492, 375, 780, 289 is 231055500.

2. How to calculate the LCM of 492, 375, 780, 289?

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 492, 375, 780, 289.

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}.