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LCM of 104, 557, 674, 457, 988

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


Find the LCM of 104, 557, 674, 457, 988 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 104, 557, 674, 457, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 104,557,674,457,988

Given numbers are 104,557,674,457,988

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

The LCM of 104,557,674,457,988 is 169507233688.

Find LCM of 104,557,674,457,988 with Prime Factorization


2 104, 557, 674, 457, 988
2 52, 557, 337, 457, 494
13 26, 557, 337, 457, 247
2, 557, 337, 457, 19

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

2 x 2 x 13 x 2 x 557 x 337 x 457 x 19 = 169507233688

Therefore, the lowest common multiple of 104,557,674,457,988 is 169507233688.

LCM Formula to Find Lowest Common Multiple of 104,557,674,457,988

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.

104 x 557 x 674 x 457 x 988 = 17628752303552

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

557 : 1, 557

674 : 1, 2, 337, 674

457 : 1, 457

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,557,674,457,988, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

557:557

674:2x 337

457:457

988:2x 2x 13x 19

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 13 = 104

Therefore, the value for common factors is 104.

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 = 17628752303552/(1x104)

LCM = 17628752303552/104

LCM = 169507233688

Thus, we can understand that the LCM of 104,557,674,457,988 is 169507233688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 104, 557, 674, 457, 988

1. What is the LCM of 104, 557, 674, 457, 988?

Answer: LCM of 104, 557, 674, 457, 988 is 169507233688.

2. How to calculate the LCM of 104, 557, 674, 457, 988?

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 104, 557, 674, 457, 988.

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}.