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LCM of 754, 437, 533, 422, 902

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


Find the LCM of 754, 437, 533, 422, 902 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 754, 437, 533, 422, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,437,533,422,902

Given numbers are 754,437,533,422,902

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

The LCM of 754,437,533,422,902 is 31355359178.

Find LCM of 754,437,533,422,902 with Prime Factorization


2 754, 437, 533, 422, 902
13 377, 437, 533, 211, 451
41 29, 437, 41, 211, 451
29, 437, 1, 211, 11

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

2 x 13 x 41 x 29 x 437 x 1 x 211 x 11 = 31355359178

Therefore, the lowest common multiple of 754,437,533,422,902 is 31355359178.

LCM Formula to Find Lowest Common Multiple of 754,437,533,422,902

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.

754 x 437 x 533 x 422 x 902 = 66849625767496

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

437 : 1, 19, 23, 437

533 : 1, 13, 41, 533

422 : 1, 2, 211, 422

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,437,533,422,902, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

437:19x 23

533:13x 41

422:2x 211

902:2x 11x 41

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 13x 41 = 2132

Therefore, the value for common factors is 2132.

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 = 66849625767496/(1x2132)

LCM = 66849625767496/2132

LCM = 31355359178

Thus, we can understand that the LCM of 754,437,533,422,902 is 31355359178.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 437, 533, 422, 902

1. What is the LCM of 754, 437, 533, 422, 902?

Answer: LCM of 754, 437, 533, 422, 902 is 31355359178.

2. How to calculate the LCM of 754, 437, 533, 422, 902?

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 754, 437, 533, 422, 902.

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}.