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LCM of 691, 752, 120, 700, 227

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


Find the LCM of 691, 752, 120, 700, 227 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 691, 752, 120, 700, 227. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 691,752,120,700,227

Given numbers are 691,752,120,700,227

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

The LCM of 691,752,120,700,227 is 61927143600.

Find LCM of 691,752,120,700,227 with Prime Factorization


2 691, 752, 120, 700, 227
2 691, 376, 60, 350, 227
2 691, 188, 30, 175, 227
5 691, 94, 15, 175, 227
691, 94, 3, 35, 227

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

2 x 2 x 2 x 5 x 691 x 94 x 3 x 35 x 227 = 61927143600

Therefore, the lowest common multiple of 691,752,120,700,227 is 61927143600.

LCM Formula to Find Lowest Common Multiple of 691,752,120,700,227

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.

691 x 752 x 120 x 700 x 227 = 9908342976000

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.

691 : 1, 691

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,752,120,700,227, is 1.

Now, the common factors can be found like this.

691:691

752:2x 2x 2x 2x 47

120:2x 2x 2x 3x 5

700:2x 2x 5x 5x 7

227:227

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

2x 2x 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 9908342976000/(1x160)

LCM = 9908342976000/160

LCM = 61927143600

Thus, we can understand that the LCM of 691,752,120,700,227 is 61927143600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 691, 752, 120, 700, 227

1. What is the LCM of 691, 752, 120, 700, 227?

Answer: LCM of 691, 752, 120, 700, 227 is 61927143600.

2. How to calculate the LCM of 691, 752, 120, 700, 227?

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 691, 752, 120, 700, 227.

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}.