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LCM of 725, 942, 644, 464

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


Find the LCM of 725, 942, 644, 464 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 725, 942, 644, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,942,644,464

Given numbers are 725,942,644,464

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

The LCM of 725,942,644,464 is 879639600.

Find LCM of 725,942,644,464 with Prime Factorization


2 725, 942, 644, 464
2 725, 471, 322, 232
29 725, 471, 161, 116
25, 471, 161, 4

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

2 x 2 x 29 x 25 x 471 x 161 x 4 = 879639600

Therefore, the lowest common multiple of 725,942,644,464 is 879639600.

LCM Formula to Find Lowest Common Multiple of 725,942,644,464

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.

725 x 942 x 644 x 464 = 204076387200

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.

725 : 1, 5, 25, 29, 145, 725

942 : 1, 2, 3, 6, 157, 314, 471, 942

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,942,644,464, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

942:2x 3x 157

644:2x 2x 7x 23

464:2x 2x 2x 2x 29

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 29 = 232

Therefore, the value for common factors is 232.

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 = 204076387200/(1x232)

LCM = 204076387200/232

LCM = 879639600

Thus, we can understand that the LCM of 725,942,644,464 is 879639600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 942, 644, 464

1. What is the LCM of 725, 942, 644, 464?

Answer: LCM of 725, 942, 644, 464 is 879639600.

2. How to calculate the LCM of 725, 942, 644, 464?

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 725, 942, 644, 464.

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}.