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LCM of 749, 438, 663, 776

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


Find the LCM of 749, 438, 663, 776 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, 438, 663, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,438,663,776

Given numbers are 749,438,663,776

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

The LCM of 749,438,663,776 is 28130660376.

Find LCM of 749,438,663,776 with Prime Factorization


2 749, 438, 663, 776
3 749, 219, 663, 388
749, 73, 221, 388

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

2 x 3 x 749 x 73 x 221 x 388 = 28130660376

Therefore, the lowest common multiple of 749,438,663,776 is 28130660376.

LCM Formula to Find Lowest Common Multiple of 749,438,663,776

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 438 x 663 x 776 = 168783962256

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,438,663,776, is 1.

Now, the common factors can be found like this.

749:7x 107

438:2x 3x 73

663:3x 13x 17

776:2x 2x 2x 97

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 168783962256/(1x6)

LCM = 168783962256/6

LCM = 28130660376

Thus, we can understand that the LCM of 749,438,663,776 is 28130660376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 438, 663, 776

1. What is the LCM of 749, 438, 663, 776?

Answer: LCM of 749, 438, 663, 776 is 28130660376.

2. How to calculate the LCM of 749, 438, 663, 776?

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, 438, 663, 776.

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}.