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LCM of 655, 605, 829, 979

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


Find the LCM of 655, 605, 829, 979 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 655, 605, 829, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 655,605,829,979

Given numbers are 655,605,829,979

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

The LCM of 655,605,829,979 is 5847513155.

Find LCM of 655,605,829,979 with Prime Factorization


5 655, 605, 829, 979
11 131, 121, 829, 979
131, 11, 829, 89

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

5 x 11 x 131 x 11 x 829 x 89 = 5847513155

Therefore, the lowest common multiple of 655,605,829,979 is 5847513155.

LCM Formula to Find Lowest Common Multiple of 655,605,829,979

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.

655 x 605 x 829 x 979 = 321613223525

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.

655 : 1, 5, 131, 655

605 : 1, 5, 11, 55, 121, 605

829 : 1, 829

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,605,829,979, is 1.

Now, the common factors can be found like this.

655:5x 131

605:5x 11x 11

829:829

979:11x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 321613223525/(1x55)

LCM = 321613223525/55

LCM = 5847513155

Thus, we can understand that the LCM of 655,605,829,979 is 5847513155.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 655, 605, 829, 979

1. What is the LCM of 655, 605, 829, 979?

Answer: LCM of 655, 605, 829, 979 is 5847513155.

2. How to calculate the LCM of 655, 605, 829, 979?

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 655, 605, 829, 979.

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}.