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LCM of 170, 174, 965, 691, 691

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


Find the LCM of 170, 174, 965, 691, 691 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 170, 174, 965, 691, 691. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 170,174,965,691,691

Given numbers are 170,174,965,691,691

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

The LCM of 170,174,965,691,691 is 1972438770.

Find LCM of 170,174,965,691,691 with Prime Factorization


2 170, 174, 965, 691, 691
5 85, 87, 965, 691, 691
691 17, 87, 193, 691, 691
17, 87, 193, 1, 1

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

2 x 5 x 691 x 17 x 87 x 193 x 1 x 1 = 1972438770

Therefore, the lowest common multiple of 170,174,965,691,691 is 1972438770.

LCM Formula to Find Lowest Common Multiple of 170,174,965,691,691

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.

170 x 174 x 965 x 691 x 691 = 13629551900700

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.

170 : 1, 2, 5, 10, 17, 34, 85, 170

174 : 1, 2, 3, 6, 29, 58, 87, 174

965 : 1, 5, 193, 965

691 : 1, 691

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,174,965,691,691, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

174:2x 3x 29

965:5x 193

691:691

691:691

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

2x 5x 691 = 6910

Therefore, the value for common factors is 6910.

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 = 13629551900700/(1x6910)

LCM = 13629551900700/6910

LCM = 1972438770

Thus, we can understand that the LCM of 170,174,965,691,691 is 1972438770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 170, 174, 965, 691, 691

1. What is the LCM of 170, 174, 965, 691, 691?

Answer: LCM of 170, 174, 965, 691, 691 is 1972438770.

2. How to calculate the LCM of 170, 174, 965, 691, 691?

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 170, 174, 965, 691, 691.

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}.