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LCM of 345, 549, 598, 768

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


Find the LCM of 345, 549, 598, 768 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 345, 549, 598, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,549,598,768

Given numbers are 345,549,598,768

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

The LCM of 345,549,598,768 is 210113280.

Find LCM of 345,549,598,768 with Prime Factorization


2 345, 549, 598, 768
3 345, 549, 299, 384
23 115, 183, 299, 128
5, 183, 13, 128

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

2 x 3 x 23 x 5 x 183 x 13 x 128 = 210113280

Therefore, the lowest common multiple of 345,549,598,768 is 210113280.

LCM Formula to Find Lowest Common Multiple of 345,549,598,768

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.

345 x 549 x 598 x 768 = 86986897920

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

549 : 1, 3, 9, 61, 183, 549

598 : 1, 2, 13, 23, 26, 46, 299, 598

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,549,598,768, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

549:3x 3x 61

598:2x 13x 23

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

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 23 = 414

Therefore, the value for common factors is 414.

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 = 86986897920/(1x414)

LCM = 86986897920/414

LCM = 210113280

Thus, we can understand that the LCM of 345,549,598,768 is 210113280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 549, 598, 768

1. What is the LCM of 345, 549, 598, 768?

Answer: LCM of 345, 549, 598, 768 is 210113280.

2. How to calculate the LCM of 345, 549, 598, 768?

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 345, 549, 598, 768.

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}.