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LCM of 383, 654, 170, 776, 998

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


Find the LCM of 383, 654, 170, 776, 998 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 383, 654, 170, 776, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 383,654,170,776,998

Given numbers are 383,654,170,776,998

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

The LCM of 383,654,170,776,998 is 4122187283640.

Find LCM of 383,654,170,776,998 with Prime Factorization


2 383, 654, 170, 776, 998
383, 327, 85, 388, 499

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

2 x 383 x 327 x 85 x 388 x 499 = 4122187283640

Therefore, the lowest common multiple of 383,654,170,776,998 is 4122187283640.

LCM Formula to Find Lowest Common Multiple of 383,654,170,776,998

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.

383 x 654 x 170 x 776 x 998 = 32977498269120

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.

383 : 1, 383

654 : 1, 2, 3, 6, 109, 218, 327, 654

170 : 1, 2, 5, 10, 17, 34, 85, 170

776 : 1, 2, 4, 8, 97, 194, 388, 776

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,654,170,776,998, is 1.

Now, the common factors can be found like this.

383:383

654:2x 3x 109

170:2x 5x 17

776:2x 2x 2x 97

998:2x 499

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 2 = 8

Therefore, the value for common factors is 8.

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 = 32977498269120/(1x8)

LCM = 32977498269120/8

LCM = 4122187283640

Thus, we can understand that the LCM of 383,654,170,776,998 is 4122187283640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 383, 654, 170, 776, 998

1. What is the LCM of 383, 654, 170, 776, 998?

Answer: LCM of 383, 654, 170, 776, 998 is 4122187283640.

2. How to calculate the LCM of 383, 654, 170, 776, 998?

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 383, 654, 170, 776, 998.

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}.