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LCM of 801, 721, 437, 437, 748

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


Find the LCM of 801, 721, 437, 437, 748 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 801, 721, 437, 437, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,721,437,437,748

Given numbers are 801,721,437,437,748

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

The LCM of 801,721,437,437,748 is 188777754396.

Find LCM of 801,721,437,437,748 with Prime Factorization


19 801, 721, 437, 437, 748
23 801, 721, 23, 23, 748
801, 721, 1, 1, 748

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

19 x 23 x 801 x 721 x 1 x 1 x 748 = 188777754396

Therefore, the lowest common multiple of 801,721,437,437,748 is 188777754396.

LCM Formula to Find Lowest Common Multiple of 801,721,437,437,748

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.

801 x 721 x 437 x 437 x 748 = 82495878671052

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.

801 : 1, 3, 9, 89, 267, 801

721 : 1, 7, 103, 721

437 : 1, 19, 23, 437

437 : 1, 19, 23, 437

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,721,437,437,748, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

721:7x 103

437:19x 23

437:19x 23

748:2x 2x 11x 17

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

19x 23 = 437

Therefore, the value for common factors is 437.

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 = 82495878671052/(1x437)

LCM = 82495878671052/437

LCM = 188777754396

Thus, we can understand that the LCM of 801,721,437,437,748 is 188777754396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 721, 437, 437, 748

1. What is the LCM of 801, 721, 437, 437, 748?

Answer: LCM of 801, 721, 437, 437, 748 is 188777754396.

2. How to calculate the LCM of 801, 721, 437, 437, 748?

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 801, 721, 437, 437, 748.

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}.