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LCM of 679, 134, 614, 134, 638

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


Find the LCM of 679, 134, 614, 134, 638 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 679, 134, 614, 134, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 679,134,614,134,638

Given numbers are 679,134,614,134,638

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

The LCM of 679,134,614,134,638 is 8910531938.

Find LCM of 679,134,614,134,638 with Prime Factorization


2 679, 134, 614, 134, 638
67 679, 67, 307, 67, 319
679, 1, 307, 1, 319

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

2 x 67 x 679 x 1 x 307 x 1 x 319 = 8910531938

Therefore, the lowest common multiple of 679,134,614,134,638 is 8910531938.

LCM Formula to Find Lowest Common Multiple of 679,134,614,134,638

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.

679 x 134 x 614 x 134 x 638 = 4776045118768

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.

679 : 1, 7, 97, 679

134 : 1, 2, 67, 134

614 : 1, 2, 307, 614

134 : 1, 2, 67, 134

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,134,614,134,638, is 1.

Now, the common factors can be found like this.

679:7x 97

134:2x 67

614:2x 307

134:2x 67

638:2x 11x 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 2x 2x 67 = 536

Therefore, the value for common factors is 536.

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 = 4776045118768/(1x536)

LCM = 4776045118768/536

LCM = 8910531938

Thus, we can understand that the LCM of 679,134,614,134,638 is 8910531938.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 679, 134, 614, 134, 638

1. What is the LCM of 679, 134, 614, 134, 638?

Answer: LCM of 679, 134, 614, 134, 638 is 8910531938.

2. How to calculate the LCM of 679, 134, 614, 134, 638?

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 679, 134, 614, 134, 638.

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}.