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LCM of 701, 209, 969

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


Find the LCM of 701, 209, 969 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 701, 209, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,209,969

Given numbers are 701,209,969

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

The LCM of 701,209,969 is 7471959.

Find LCM of 701,209,969 with Prime Factorization


19 701, 209, 969
701, 11, 51

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

19 x 701 x 11 x 51 = 7471959

Therefore, the lowest common multiple of 701,209,969 is 7471959.

LCM Formula to Find Lowest Common Multiple of 701,209,969

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.

701 x 209 x 969 = 141967221

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.

701 : 1, 701

209 : 1, 11, 19, 209

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,209,969, is 1.

Now, the common factors can be found like this.

701:701

209:11x 19

969:3x 17x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 141967221/(1x19)

LCM = 141967221/19

LCM = 7471959

Thus, we can understand that the LCM of 701,209,969 is 7471959.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 701, 209, 969

1. What is the LCM of 701, 209, 969?

Answer: LCM of 701, 209, 969 is 7471959.

2. How to calculate the LCM of 701, 209, 969?

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 701, 209, 969.

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}.