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LCM of 701, 936, 600, 441

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


Find the LCM of 701, 936, 600, 441 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, 936, 600, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,936,600,441

Given numbers are 701,936,600,441

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

The LCM of 701,936,600,441 is 803766600.

Find LCM of 701,936,600,441 with Prime Factorization


2 701, 936, 600, 441
2 701, 468, 300, 441
2 701, 234, 150, 441
3 701, 117, 75, 441
3 701, 39, 25, 147
701, 13, 25, 49

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

2 x 2 x 2 x 3 x 3 x 701 x 13 x 25 x 49 = 803766600

Therefore, the lowest common multiple of 701,936,600,441 is 803766600.

LCM Formula to Find Lowest Common Multiple of 701,936,600,441

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 936 x 600 x 441 = 173613585600

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,936,600,441, is 1.

Now, the common factors can be found like this.

701:701

936:2x 2x 2x 3x 3x 13

600:2x 2x 2x 3x 5x 5

441:3x 3x 7x 7

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 173613585600/(1x216)

LCM = 173613585600/216

LCM = 803766600

Thus, we can understand that the LCM of 701,936,600,441 is 803766600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 936, 600, 441

1. What is the LCM of 701, 936, 600, 441?

Answer: LCM of 701, 936, 600, 441 is 803766600.

2. How to calculate the LCM of 701, 936, 600, 441?

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, 936, 600, 441.

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}.