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LCM of 678, 345, 462, 498

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


Find the LCM of 678, 345, 462, 498 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 678, 345, 462, 498. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,345,462,498

Given numbers are 678,345,462,498

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

The LCM of 678,345,462,498 is 498306270.

Find LCM of 678,345,462,498 with Prime Factorization


2 678, 345, 462, 498
3 339, 345, 231, 249
113, 115, 77, 83

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

2 x 3 x 113 x 115 x 77 x 83 = 498306270

Therefore, the lowest common multiple of 678,345,462,498 is 498306270.

LCM Formula to Find Lowest Common Multiple of 678,345,462,498

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.

678 x 345 x 462 x 498 = 53817077160

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

498 : 1, 2, 3, 6, 83, 166, 249, 498

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,345,462,498, is 3.

Now, the common factors can be found like this.

678:2x 3x 113

345:3x 5x 23

462:2x 3x 7x 11

498:2x 3x 83

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 3 = 36

Therefore, the value for common factors is 36.

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 = 53817077160/(3x36)

LCM = 53817077160/108

LCM = 498306270

Thus, we can understand that the LCM of 678,345,462,498 is 498306270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 345, 462, 498

1. What is the LCM of 678, 345, 462, 498?

Answer: LCM of 678, 345, 462, 498 is 498306270.

2. How to calculate the LCM of 678, 345, 462, 498?

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 678, 345, 462, 498.

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}.