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LCM of 120, 704, 649, 723

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


Find the LCM of 120, 704, 649, 723 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 120, 704, 649, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 120,704,649,723

Given numbers are 120,704,649,723

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

The LCM of 120,704,649,723 is 150152640.

Find LCM of 120,704,649,723 with Prime Factorization


2 120, 704, 649, 723
2 60, 352, 649, 723
2 30, 176, 649, 723
3 15, 88, 649, 723
11 5, 88, 649, 241
5, 8, 59, 241

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

2 x 2 x 2 x 3 x 11 x 5 x 8 x 59 x 241 = 150152640

Therefore, the lowest common multiple of 120,704,649,723 is 150152640.

LCM Formula to Find Lowest Common Multiple of 120,704,649,723

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.

120 x 704 x 649 x 723 = 39640296960

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.

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

649 : 1, 11, 59, 649

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,704,649,723, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

704:2x 2x 2x 2x 2x 2x 11

649:11x 59

723:3x 241

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 11 = 264

Therefore, the value for common factors is 264.

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 = 39640296960/(1x264)

LCM = 39640296960/264

LCM = 150152640

Thus, we can understand that the LCM of 120,704,649,723 is 150152640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 120, 704, 649, 723

1. What is the LCM of 120, 704, 649, 723?

Answer: LCM of 120, 704, 649, 723 is 150152640.

2. How to calculate the LCM of 120, 704, 649, 723?

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 120, 704, 649, 723.

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}.