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LCM of 408, 749, 992, 494, 949

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


Find the LCM of 408, 749, 992, 494, 949 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 408, 749, 992, 494, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,749,992,494,949

Given numbers are 408,749,992,494,949

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

The LCM of 408,749,992,494,949 is 683256039648.

Find LCM of 408,749,992,494,949 with Prime Factorization


2 408, 749, 992, 494, 949
2 204, 749, 496, 247, 949
2 102, 749, 248, 247, 949
13 51, 749, 124, 247, 949
51, 749, 124, 19, 73

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

2 x 2 x 2 x 13 x 51 x 749 x 124 x 19 x 73 = 683256039648

Therefore, the lowest common multiple of 408,749,992,494,949 is 683256039648.

LCM Formula to Find Lowest Common Multiple of 408,749,992,494,949

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.

408 x 749 x 992 x 494 x 949 = 142117256246784

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

749 : 1, 7, 107, 749

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

494 : 1, 2, 13, 19, 26, 38, 247, 494

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,749,992,494,949, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

749:7x 107

992:2x 2x 2x 2x 2x 31

494:2x 13x 19

949:13x 73

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 = 142117256246784/(1x208)

LCM = 142117256246784/208

LCM = 683256039648

Thus, we can understand that the LCM of 408,749,992,494,949 is 683256039648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 749, 992, 494, 949

1. What is the LCM of 408, 749, 992, 494, 949?

Answer: LCM of 408, 749, 992, 494, 949 is 683256039648.

2. How to calculate the LCM of 408, 749, 992, 494, 949?

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 408, 749, 992, 494, 949.

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}.