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LCM of 913, 754, 544, 291

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


Find the LCM of 913, 754, 544, 291 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 913, 754, 544, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,754,544,291

Given numbers are 913,754,544,291

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

The LCM of 913,754,544,291 is 54488395104.

Find LCM of 913,754,544,291 with Prime Factorization


2 913, 754, 544, 291
913, 377, 272, 291

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

2 x 913 x 377 x 272 x 291 = 54488395104

Therefore, the lowest common multiple of 913,754,544,291 is 54488395104.

LCM Formula to Find Lowest Common Multiple of 913,754,544,291

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.

913 x 754 x 544 x 291 = 108976790208

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.

913 : 1, 11, 83, 913

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,754,544,291, is 1.

Now, the common factors can be found like this.

913:11x 83

754:2x 13x 29

544:2x 2x 2x 2x 2x 17

291:3x 97

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

2 = 2

Therefore, the value for common factors is 2.

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 = 108976790208/(1x2)

LCM = 108976790208/2

LCM = 54488395104

Thus, we can understand that the LCM of 913,754,544,291 is 54488395104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 754, 544, 291

1. What is the LCM of 913, 754, 544, 291?

Answer: LCM of 913, 754, 544, 291 is 54488395104.

2. How to calculate the LCM of 913, 754, 544, 291?

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 913, 754, 544, 291.

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}.