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LCM of 998, 148, 407, 553

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


Find the LCM of 998, 148, 407, 553 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 998, 148, 407, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,148,407,553

Given numbers are 998,148,407,553

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

The LCM of 998,148,407,553 is 449241716.

Find LCM of 998,148,407,553 with Prime Factorization


2 998, 148, 407, 553
37 499, 74, 407, 553
499, 2, 11, 553

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

2 x 37 x 499 x 2 x 11 x 553 = 449241716

Therefore, the lowest common multiple of 998,148,407,553 is 449241716.

LCM Formula to Find Lowest Common Multiple of 998,148,407,553

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.

998 x 148 x 407 x 553 = 33243886984

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.

998 : 1, 2, 499, 998

148 : 1, 2, 4, 37, 74, 148

407 : 1, 11, 37, 407

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,148,407,553, is 1.

Now, the common factors can be found like this.

998:2x 499

148:2x 2x 37

407:11x 37

553:7x 79

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 33243886984/(1x74)

LCM = 33243886984/74

LCM = 449241716

Thus, we can understand that the LCM of 998,148,407,553 is 449241716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 148, 407, 553

1. What is the LCM of 998, 148, 407, 553?

Answer: LCM of 998, 148, 407, 553 is 449241716.

2. How to calculate the LCM of 998, 148, 407, 553?

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 998, 148, 407, 553.

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}.