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LCM of 604, 780, 972, 272, 306

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


Find the LCM of 604, 780, 972, 272, 306 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 604, 780, 972, 272, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,780,972,272,306

Given numbers are 604,780,972,272,306

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

The LCM of 604,780,972,272,306 is 648732240.

Find LCM of 604,780,972,272,306 with Prime Factorization


2 604, 780, 972, 272, 306
2 302, 390, 486, 136, 153
3 151, 195, 243, 68, 153
3 151, 65, 81, 68, 51
17 151, 65, 27, 68, 17
151, 65, 27, 4, 1

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

2 x 2 x 3 x 3 x 17 x 151 x 65 x 27 x 4 x 1 = 648732240

Therefore, the lowest common multiple of 604,780,972,272,306 is 648732240.

LCM Formula to Find Lowest Common Multiple of 604,780,972,272,306

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.

604 x 780 x 972 x 272 x 306 = 38114316564480

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.

604 : 1, 2, 4, 151, 302, 604

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,780,972,272,306, is 2.

Now, the common factors can be found like this.

604:2x 2x 151

780:2x 2x 3x 5x 13

972:2x 2x 3x 3x 3x 3x 3

272:2x 2x 2x 2x 17

306:2x 3x 3x 17

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 2x 2x 2x 2x 3x 3x 3x 17 = 29376

Therefore, the value for common factors is 29376.

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 = 38114316564480/(2x29376)

LCM = 38114316564480/58752

LCM = 648732240

Thus, we can understand that the LCM of 604,780,972,272,306 is 648732240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 780, 972, 272, 306

1. What is the LCM of 604, 780, 972, 272, 306?

Answer: LCM of 604, 780, 972, 272, 306 is 648732240.

2. How to calculate the LCM of 604, 780, 972, 272, 306?

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 604, 780, 972, 272, 306.

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}.