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LCM of 677, 349, 938, 312

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


Find the LCM of 677, 349, 938, 312 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 677, 349, 938, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,349,938,312

Given numbers are 677,349,938,312

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

The LCM of 677,349,938,312 is 34573355544.

Find LCM of 677,349,938,312 with Prime Factorization


2 677, 349, 938, 312
677, 349, 469, 156

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

2 x 677 x 349 x 469 x 156 = 34573355544

Therefore, the lowest common multiple of 677,349,938,312 is 34573355544.

LCM Formula to Find Lowest Common Multiple of 677,349,938,312

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.

677 x 349 x 938 x 312 = 69146711088

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.

677 : 1, 677

349 : 1, 349

938 : 1, 2, 7, 14, 67, 134, 469, 938

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,349,938,312, is 1.

Now, the common factors can be found like this.

677:677

349:349

938:2x 7x 67

312:2x 2x 2x 3x 13

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 = 69146711088/(1x2)

LCM = 69146711088/2

LCM = 34573355544

Thus, we can understand that the LCM of 677,349,938,312 is 34573355544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 349, 938, 312

1. What is the LCM of 677, 349, 938, 312?

Answer: LCM of 677, 349, 938, 312 is 34573355544.

2. How to calculate the LCM of 677, 349, 938, 312?

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 677, 349, 938, 312.

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}.