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LCM of 768, 510, 868, 493

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


Find the LCM of 768, 510, 868, 493 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 768, 510, 868, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,510,868,493

Given numbers are 768,510,868,493

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

The LCM of 768,510,868,493 is 410807040.

Find LCM of 768,510,868,493 with Prime Factorization


2 768, 510, 868, 493
2 384, 255, 434, 493
3 192, 255, 217, 493
17 64, 85, 217, 493
64, 5, 217, 29

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

2 x 2 x 3 x 17 x 64 x 5 x 217 x 29 = 410807040

Therefore, the lowest common multiple of 768,510,868,493 is 410807040.

LCM Formula to Find Lowest Common Multiple of 768,510,868,493

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.

768 x 510 x 868 x 493 = 167609272320

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,510,868,493, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

510:2x 3x 5x 17

868:2x 2x 7x 31

493:17x 29

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 167609272320/(1x408)

LCM = 167609272320/408

LCM = 410807040

Thus, we can understand that the LCM of 768,510,868,493 is 410807040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 510, 868, 493

1. What is the LCM of 768, 510, 868, 493?

Answer: LCM of 768, 510, 868, 493 is 410807040.

2. How to calculate the LCM of 768, 510, 868, 493?

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 768, 510, 868, 493.

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}.