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LCM of 701, 701, 265, 450

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


Find the LCM of 701, 701, 265, 450 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, 701, 265, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,701,265,450

Given numbers are 701,701,265,450

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

The LCM of 701,701,265,450 is 16718850.

Find LCM of 701,701,265,450 with Prime Factorization


5 701, 701, 265, 450
701 701, 701, 53, 90
1, 1, 53, 90

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

5 x 701 x 1 x 1 x 53 x 90 = 16718850

Therefore, the lowest common multiple of 701,701,265,450 is 16718850.

LCM Formula to Find Lowest Common Multiple of 701,701,265,450

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 701 x 265 x 450 = 58599569250

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

701 : 1, 701

265 : 1, 5, 53, 265

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,701,265,450, is 1.

Now, the common factors can be found like this.

701:701

701:701

265:5x 53

450:2x 3x 3x 5x 5

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

5x 701 = 3505

Therefore, the value for common factors is 3505.

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 = 58599569250/(1x3505)

LCM = 58599569250/3505

LCM = 16718850

Thus, we can understand that the LCM of 701,701,265,450 is 16718850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 701, 265, 450

1. What is the LCM of 701, 701, 265, 450?

Answer: LCM of 701, 701, 265, 450 is 16718850.

2. How to calculate the LCM of 701, 701, 265, 450?

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, 701, 265, 450.

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}.