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LCM of 496, 407, 676, 988

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


Find the LCM of 496, 407, 676, 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 496, 407, 676, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 496,407,676,988

Given numbers are 496,407,676,988

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

The LCM of 496,407,676,988 is 648210992.

Find LCM of 496,407,676,988 with Prime Factorization


2 496, 407, 676, 988
2 248, 407, 338, 494
13 124, 407, 169, 247
124, 407, 13, 19

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

2 x 2 x 13 x 124 x 407 x 13 x 19 = 648210992

Therefore, the lowest common multiple of 496,407,676,988 is 648210992.

LCM Formula to Find Lowest Common Multiple of 496,407,676,988

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.

496 x 407 x 676 x 988 = 134827886336

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

407 : 1, 11, 37, 407

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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 496,407,676,988, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

407:11x 37

676:2x 2x 13x 13

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 134827886336/(1x208)

LCM = 134827886336/208

LCM = 648210992

Thus, we can understand that the LCM of 496,407,676,988 is 648210992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 496, 407, 676, 988

1. What is the LCM of 496, 407, 676, 988?

Answer: LCM of 496, 407, 676, 988 is 648210992.

2. How to calculate the LCM of 496, 407, 676, 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 496, 407, 676, 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}.