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LCM of 749, 418, 904, 963

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


Find the LCM of 749, 418, 904, 963 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 749, 418, 904, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,418,904,963

Given numbers are 749,418,904,963

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

The LCM of 749,418,904,963 is 1273617576.

Find LCM of 749,418,904,963 with Prime Factorization


2 749, 418, 904, 963
107 749, 209, 452, 963
7, 209, 452, 9

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

2 x 107 x 7 x 209 x 452 x 9 = 1273617576

Therefore, the lowest common multiple of 749,418,904,963 is 1273617576.

LCM Formula to Find Lowest Common Multiple of 749,418,904,963

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.

749 x 418 x 904 x 963 = 272554161264

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.

749 : 1, 7, 107, 749

418 : 1, 2, 11, 19, 22, 38, 209, 418

904 : 1, 2, 4, 8, 113, 226, 452, 904

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,418,904,963, is 1.

Now, the common factors can be found like this.

749:7x 107

418:2x 11x 19

904:2x 2x 2x 113

963:3x 3x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 272554161264/(1x214)

LCM = 272554161264/214

LCM = 1273617576

Thus, we can understand that the LCM of 749,418,904,963 is 1273617576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 418, 904, 963

1. What is the LCM of 749, 418, 904, 963?

Answer: LCM of 749, 418, 904, 963 is 1273617576.

2. How to calculate the LCM of 749, 418, 904, 963?

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 749, 418, 904, 963.

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}.