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LCM of 773, 638, 418, 128

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


Find the LCM of 773, 638, 418, 128 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 773, 638, 418, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 773,638,418,128

Given numbers are 773,638,418,128

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

The LCM of 773,638,418,128 is 599699584.

Find LCM of 773,638,418,128 with Prime Factorization


2 773, 638, 418, 128
11 773, 319, 209, 64
773, 29, 19, 64

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

2 x 11 x 773 x 29 x 19 x 64 = 599699584

Therefore, the lowest common multiple of 773,638,418,128 is 599699584.

LCM Formula to Find Lowest Common Multiple of 773,638,418,128

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.

773 x 638 x 418 x 128 = 26386781696

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.

773 : 1, 773

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

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,638,418,128, is 1.

Now, the common factors can be found like this.

773:773

638:2x 11x 29

418:2x 11x 19

128:2x 2x 2x 2x 2x 2x 2

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 11 = 44

Therefore, the value for common factors is 44.

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 = 26386781696/(1x44)

LCM = 26386781696/44

LCM = 599699584

Thus, we can understand that the LCM of 773,638,418,128 is 599699584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 773, 638, 418, 128

1. What is the LCM of 773, 638, 418, 128?

Answer: LCM of 773, 638, 418, 128 is 599699584.

2. How to calculate the LCM of 773, 638, 418, 128?

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 773, 638, 418, 128.

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}.