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LCM of 979, 770, 517, 177

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


Find the LCM of 979, 770, 517, 177 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 979, 770, 517, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,770,517,177

Given numbers are 979,770,517,177

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

The LCM of 979,770,517,177 is 570101070.

Find LCM of 979,770,517,177 with Prime Factorization


11 979, 770, 517, 177
89, 70, 47, 177

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

11 x 89 x 70 x 47 x 177 = 570101070

Therefore, the lowest common multiple of 979,770,517,177 is 570101070.

LCM Formula to Find Lowest Common Multiple of 979,770,517,177

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.

979 x 770 x 517 x 177 = 68982229470

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.

979 : 1, 11, 89, 979

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

517 : 1, 11, 47, 517

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,770,517,177, is 1.

Now, the common factors can be found like this.

979:11x 89

770:2x 5x 7x 11

517:11x 47

177:3x 59

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 68982229470/(1x121)

LCM = 68982229470/121

LCM = 570101070

Thus, we can understand that the LCM of 979,770,517,177 is 570101070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 770, 517, 177

1. What is the LCM of 979, 770, 517, 177?

Answer: LCM of 979, 770, 517, 177 is 570101070.

2. How to calculate the LCM of 979, 770, 517, 177?

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 979, 770, 517, 177.

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}.