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LCM of 749, 796, 638, 349

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


Find the LCM of 749, 796, 638, 349 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, 796, 638, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,796,638,349

Given numbers are 749,796,638,349

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

The LCM of 749,796,638,349 is 66375987524.

Find LCM of 749,796,638,349 with Prime Factorization


2 749, 796, 638, 349
749, 398, 319, 349

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

2 x 749 x 398 x 319 x 349 = 66375987524

Therefore, the lowest common multiple of 749,796,638,349 is 66375987524.

LCM Formula to Find Lowest Common Multiple of 749,796,638,349

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 796 x 638 x 349 = 132751975048

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

796 : 1, 2, 4, 199, 398, 796

638 : 1, 2, 11, 22, 29, 58, 319, 638

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,796,638,349, is 1.

Now, the common factors can be found like this.

749:7x 107

796:2x 2x 199

638:2x 11x 29

349:349

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

2 = 2

Therefore, the value for common factors is 2.

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 = 132751975048/(1x2)

LCM = 132751975048/2

LCM = 66375987524

Thus, we can understand that the LCM of 749,796,638,349 is 66375987524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 796, 638, 349

1. What is the LCM of 749, 796, 638, 349?

Answer: LCM of 749, 796, 638, 349 is 66375987524.

2. How to calculate the LCM of 749, 796, 638, 349?

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, 796, 638, 349.

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}.