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LCM of 289, 194, 120, 510

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


Find the LCM of 289, 194, 120, 510 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 289, 194, 120, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,194,120,510

Given numbers are 289,194,120,510

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

The LCM of 289,194,120,510 is 3363960.

Find LCM of 289,194,120,510 with Prime Factorization


2 289, 194, 120, 510
3 289, 97, 60, 255
5 289, 97, 20, 85
17 289, 97, 4, 17
1, 97, 4, 17

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

2 x 3 x 5 x 17 x 1 x 97 x 4 x 17 = 3363960

Therefore, the lowest common multiple of 289,194,120,510 is 3363960.

LCM Formula to Find Lowest Common Multiple of 289,194,120,510

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.

289 x 194 x 120 x 510 = 3431239200

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.

289 : 1, 17, 289

194 : 1, 2, 97, 194

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,194,120,510, is 1.

Now, the common factors can be found like this.

289:17x 17

194:2x 97

120:2x 2x 2x 3x 5

510:2x 3x 5x 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 5x 17 = 1020

Therefore, the value for common factors is 1020.

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 = 3431239200/(1x1020)

LCM = 3431239200/1020

LCM = 3363960

Thus, we can understand that the LCM of 289,194,120,510 is 3363960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 194, 120, 510

1. What is the LCM of 289, 194, 120, 510?

Answer: LCM of 289, 194, 120, 510 is 3363960.

2. How to calculate the LCM of 289, 194, 120, 510?

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 289, 194, 120, 510.

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}.