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LCM of 661, 226, 676, 678

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


Find the LCM of 661, 226, 676, 678 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 661, 226, 676, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 661,226,676,678

Given numbers are 661,226,676,678

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

The LCM of 661,226,676,678 is 151477404.

Find LCM of 661,226,676,678 with Prime Factorization


2 661, 226, 676, 678
113 661, 113, 338, 339
661, 1, 338, 3

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

2 x 113 x 661 x 1 x 338 x 3 = 151477404

Therefore, the lowest common multiple of 661,226,676,678 is 151477404.

LCM Formula to Find Lowest Common Multiple of 661,226,676,678

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.

661 x 226 x 676 x 678 = 68467786608

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.

661 : 1, 661

226 : 1, 2, 113, 226

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,226,676,678, is 1.

Now, the common factors can be found like this.

661:661

226:2x 113

676:2x 2x 13x 13

678:2x 3x 113

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 113 = 452

Therefore, the value for common factors is 452.

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 = 68467786608/(1x452)

LCM = 68467786608/452

LCM = 151477404

Thus, we can understand that the LCM of 661,226,676,678 is 151477404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 661, 226, 676, 678

1. What is the LCM of 661, 226, 676, 678?

Answer: LCM of 661, 226, 676, 678 is 151477404.

2. How to calculate the LCM of 661, 226, 676, 678?

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 661, 226, 676, 678.

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}.