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LCM of 606, 319, 627, 304, 125

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


Find the LCM of 606, 319, 627, 304, 125 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 606, 319, 627, 304, 125. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,319,627,304,125

Given numbers are 606,319,627,304,125

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

The LCM of 606,319,627,304,125 is 3672966000.

Find LCM of 606,319,627,304,125 with Prime Factorization


2 606, 319, 627, 304, 125
3 303, 319, 627, 152, 125
11 101, 319, 209, 152, 125
19 101, 29, 19, 152, 125
101, 29, 1, 8, 125

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

2 x 3 x 11 x 19 x 101 x 29 x 1 x 8 x 125 = 3672966000

Therefore, the lowest common multiple of 606,319,627,304,125 is 3672966000.

LCM Formula to Find Lowest Common Multiple of 606,319,627,304,125

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.

606 x 319 x 627 x 304 x 125 = 4605899364000

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

319 : 1, 11, 29, 319

627 : 1, 3, 11, 19, 33, 57, 209, 627

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,319,627,304,125, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

319:11x 29

627:3x 11x 19

304:2x 2x 2x 2x 19

125:5x 5x 5

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

2x 3x 11x 19 = 1254

Therefore, the value for common factors is 1254.

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 = 4605899364000/(1x1254)

LCM = 4605899364000/1254

LCM = 3672966000

Thus, we can understand that the LCM of 606,319,627,304,125 is 3672966000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 319, 627, 304, 125

1. What is the LCM of 606, 319, 627, 304, 125?

Answer: LCM of 606, 319, 627, 304, 125 is 3672966000.

2. How to calculate the LCM of 606, 319, 627, 304, 125?

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 606, 319, 627, 304, 125.

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}.