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LCM of 510, 106, 785, 768, 711

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


Find the LCM of 510, 106, 785, 768, 711 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 510, 106, 785, 768, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,106,785,768,711

Given numbers are 510,106,785,768,711

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

The LCM of 510,106,785,768,711 is 128737186560.

Find LCM of 510,106,785,768,711 with Prime Factorization


2 510, 106, 785, 768, 711
3 255, 53, 785, 384, 711
5 85, 53, 785, 128, 237
17, 53, 157, 128, 237

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

2 x 3 x 5 x 17 x 53 x 157 x 128 x 237 = 128737186560

Therefore, the lowest common multiple of 510,106,785,768,711 is 128737186560.

LCM Formula to Find Lowest Common Multiple of 510,106,785,768,711

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.

510 x 106 x 785 x 768 x 711 = 23172693580800

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.

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

106 : 1, 2, 53, 106

785 : 1, 5, 157, 785

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

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,106,785,768,711, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

106:2x 53

785:5x 157

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

711:3x 3x 79

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 = 23172693580800/(1x180)

LCM = 23172693580800/180

LCM = 128737186560

Thus, we can understand that the LCM of 510,106,785,768,711 is 128737186560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 106, 785, 768, 711

1. What is the LCM of 510, 106, 785, 768, 711?

Answer: LCM of 510, 106, 785, 768, 711 is 128737186560.

2. How to calculate the LCM of 510, 106, 785, 768, 711?

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 510, 106, 785, 768, 711.

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}.