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LCM of 644, 381, 889, 929

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


Find the LCM of 644, 381, 889, 929 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 644, 381, 889, 929. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,381,889,929

Given numbers are 644,381,889,929

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

The LCM of 644,381,889,929 is 227943156.

Find LCM of 644,381,889,929 with Prime Factorization


7 644, 381, 889, 929
127 92, 381, 127, 929
92, 3, 1, 929

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

7 x 127 x 92 x 3 x 1 x 929 = 227943156

Therefore, the lowest common multiple of 644,381,889,929 is 227943156.

LCM Formula to Find Lowest Common Multiple of 644,381,889,929

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.

644 x 381 x 889 x 929 = 202641465684

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.

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

381 : 1, 3, 127, 381

889 : 1, 7, 127, 889

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,381,889,929, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

381:3x 127

889:7x 127

929:929

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

7x 127 = 889

Therefore, the value for common factors is 889.

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 = 202641465684/(1x889)

LCM = 202641465684/889

LCM = 227943156

Thus, we can understand that the LCM of 644,381,889,929 is 227943156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 381, 889, 929

1. What is the LCM of 644, 381, 889, 929?

Answer: LCM of 644, 381, 889, 929 is 227943156.

2. How to calculate the LCM of 644, 381, 889, 929?

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 644, 381, 889, 929.

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}.