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LCM of 960, 582, 587, 634, 437

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


Find the LCM of 960, 582, 587, 634, 437 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 960, 582, 587, 634, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,582,587,634,437

Given numbers are 960,582,587,634,437

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

The LCM of 960,582,587,634,437 is 7572194621760.

Find LCM of 960,582,587,634,437 with Prime Factorization


2 960, 582, 587, 634, 437
3 480, 291, 587, 317, 437
160, 97, 587, 317, 437

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

2 x 3 x 160 x 97 x 587 x 317 x 437 = 7572194621760

Therefore, the lowest common multiple of 960,582,587,634,437 is 7572194621760.

LCM Formula to Find Lowest Common Multiple of 960,582,587,634,437

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.

960 x 582 x 587 x 634 x 437 = 90866335461120

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

582 : 1, 2, 3, 6, 97, 194, 291, 582

587 : 1, 587

634 : 1, 2, 317, 634

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,582,587,634,437, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

582:2x 3x 97

587:587

634:2x 317

437:19x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 90866335461120/(1x12)

LCM = 90866335461120/12

LCM = 7572194621760

Thus, we can understand that the LCM of 960,582,587,634,437 is 7572194621760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 582, 587, 634, 437

1. What is the LCM of 960, 582, 587, 634, 437?

Answer: LCM of 960, 582, 587, 634, 437 is 7572194621760.

2. How to calculate the LCM of 960, 582, 587, 634, 437?

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 960, 582, 587, 634, 437.

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}.