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LCM of 651, 923, 672, 640

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


Find the LCM of 651, 923, 672, 640 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 651, 923, 672, 640. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,923,672,640

Given numbers are 651,923,672,640

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

The LCM of 651,923,672,640 is 384558720.

Find LCM of 651,923,672,640 with Prime Factorization


2 651, 923, 672, 640
2 651, 923, 336, 320
2 651, 923, 168, 160
2 651, 923, 84, 80
2 651, 923, 42, 40
3 651, 923, 21, 20
7 217, 923, 7, 20
31, 923, 1, 20

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 31 x 923 x 1 x 20 = 384558720

Therefore, the lowest common multiple of 651,923,672,640 is 384558720.

LCM Formula to Find Lowest Common Multiple of 651,923,672,640

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.

651 x 923 x 672 x 640 = 258423459840

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

923 : 1, 13, 71, 923

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,923,672,640, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

923:13x 71

672:2x 2x 2x 2x 2x 3x 7

640:2x 2x 2x 2x 2x 2x 2x 5

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 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 258423459840/(1x672)

LCM = 258423459840/672

LCM = 384558720

Thus, we can understand that the LCM of 651,923,672,640 is 384558720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 923, 672, 640

1. What is the LCM of 651, 923, 672, 640?

Answer: LCM of 651, 923, 672, 640 is 384558720.

2. How to calculate the LCM of 651, 923, 672, 640?

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 651, 923, 672, 640.

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}.