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LCM of 777, 211, 513, 773, 211

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


Find the LCM of 777, 211, 513, 773, 211 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 777, 211, 513, 773, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 777,211,513,773,211

Given numbers are 777,211,513,773,211

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

The LCM of 777,211,513,773,211 is 21671006301.

Find LCM of 777,211,513,773,211 with Prime Factorization


3 777, 211, 513, 773, 211
211 259, 211, 171, 773, 211
259, 1, 171, 773, 1

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

3 x 211 x 259 x 1 x 171 x 773 x 1 = 21671006301

Therefore, the lowest common multiple of 777,211,513,773,211 is 21671006301.

LCM Formula to Find Lowest Common Multiple of 777,211,513,773,211

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.

777 x 211 x 513 x 773 x 211 = 13717746988533

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

211 : 1, 211

513 : 1, 3, 9, 19, 27, 57, 171, 513

773 : 1, 773

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,211,513,773,211, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

211:211

513:3x 3x 3x 19

773:773

211:211

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

3x 211 = 633

Therefore, the value for common factors is 633.

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 = 13717746988533/(1x633)

LCM = 13717746988533/633

LCM = 21671006301

Thus, we can understand that the LCM of 777,211,513,773,211 is 21671006301.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 777, 211, 513, 773, 211

1. What is the LCM of 777, 211, 513, 773, 211?

Answer: LCM of 777, 211, 513, 773, 211 is 21671006301.

2. How to calculate the LCM of 777, 211, 513, 773, 211?

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 777, 211, 513, 773, 211.

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}.