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LCM of 678, 326, 163, 374, 918

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


Find the LCM of 678, 326, 163, 374, 918 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, 326, 163, 374, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,326,163,374,918

Given numbers are 678,326,163,374,918

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

The LCM of 678,326,163,374,918 is 185995062.

Find LCM of 678,326,163,374,918 with Prime Factorization


2 678, 326, 163, 374, 918
3 339, 163, 163, 187, 459
17 113, 163, 163, 187, 153
163 113, 163, 163, 11, 9
113, 1, 1, 11, 9

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

2 x 3 x 17 x 163 x 113 x 1 x 1 x 11 x 9 = 185995062

Therefore, the lowest common multiple of 678,326,163,374,918 is 185995062.

LCM Formula to Find Lowest Common Multiple of 678,326,163,374,918

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 326 x 163 x 374 x 918 = 12369415603248

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

326 : 1, 2, 163, 326

163 : 1, 163

374 : 1, 2, 11, 17, 22, 34, 187, 374

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,326,163,374,918, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

326:2x 163

163:163

374:2x 11x 17

918:2x 3x 3x 3x 17

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 17x 163 = 66504

Therefore, the value for common factors is 66504.

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 = 12369415603248/(1x66504)

LCM = 12369415603248/66504

LCM = 185995062

Thus, we can understand that the LCM of 678,326,163,374,918 is 185995062.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 326, 163, 374, 918

1. What is the LCM of 678, 326, 163, 374, 918?

Answer: LCM of 678, 326, 163, 374, 918 is 185995062.

2. How to calculate the LCM of 678, 326, 163, 374, 918?

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, 326, 163, 374, 918.

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}.