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LCM of 904, 701, 701, 644

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


Find the LCM of 904, 701, 701, 644 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 904, 701, 701, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,701,701,644

Given numbers are 904,701,701,644

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

The LCM of 904,701,701,644 is 102026344.

Find LCM of 904,701,701,644 with Prime Factorization


2 904, 701, 701, 644
2 452, 701, 701, 322
701 226, 701, 701, 161
226, 1, 1, 161

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

2 x 2 x 701 x 226 x 1 x 1 x 161 = 102026344

Therefore, the lowest common multiple of 904,701,701,644 is 102026344.

LCM Formula to Find Lowest Common Multiple of 904,701,701,644

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.

904 x 701 x 701 x 644 = 286081868576

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

701 : 1, 701

701 : 1, 701

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,701,701,644, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

701:701

701:701

644:2x 2x 7x 23

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 701 = 2804

Therefore, the value for common factors is 2804.

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 = 286081868576/(1x2804)

LCM = 286081868576/2804

LCM = 102026344

Thus, we can understand that the LCM of 904,701,701,644 is 102026344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 701, 701, 644

1. What is the LCM of 904, 701, 701, 644?

Answer: LCM of 904, 701, 701, 644 is 102026344.

2. How to calculate the LCM of 904, 701, 701, 644?

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 904, 701, 701, 644.

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}.