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LCM of 768, 306, 835, 435

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


Find the LCM of 768, 306, 835, 435 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, 306, 835, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,306,835,435

Given numbers are 768,306,835,435

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

The LCM of 768,306,835,435 is 948453120.

Find LCM of 768,306,835,435 with Prime Factorization


2 768, 306, 835, 435
3 384, 153, 835, 435
5 128, 51, 835, 145
128, 51, 167, 29

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

2 x 3 x 5 x 128 x 51 x 167 x 29 = 948453120

Therefore, the lowest common multiple of 768,306,835,435 is 948453120.

LCM Formula to Find Lowest Common Multiple of 768,306,835,435

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 306 x 835 x 435 = 85360780800

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

835 : 1, 5, 167, 835

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,306,835,435, is 1.

Now, the common factors can be found like this.

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

306:2x 3x 3x 17

835:5x 167

435:3x 5x 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 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 85360780800/(1x90)

LCM = 85360780800/90

LCM = 948453120

Thus, we can understand that the LCM of 768,306,835,435 is 948453120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 306, 835, 435

1. What is the LCM of 768, 306, 835, 435?

Answer: LCM of 768, 306, 835, 435 is 948453120.

2. How to calculate the LCM of 768, 306, 835, 435?

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, 306, 835, 435.

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}.