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LCM of 209, 715, 970, 468

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


Find the LCM of 209, 715, 970, 468 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 209, 715, 970, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,715,970,468

Given numbers are 209,715,970,468

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

The LCM of 209,715,970,468 is 47438820.

Find LCM of 209,715,970,468 with Prime Factorization


2 209, 715, 970, 468
5 209, 715, 485, 234
11 209, 143, 97, 234
13 19, 13, 97, 234
19, 1, 97, 18

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

2 x 5 x 11 x 13 x 19 x 1 x 97 x 18 = 47438820

Therefore, the lowest common multiple of 209,715,970,468 is 47438820.

LCM Formula to Find Lowest Common Multiple of 209,715,970,468

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.

209 x 715 x 970 x 468 = 67837512600

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.

209 : 1, 11, 19, 209

715 : 1, 5, 11, 13, 55, 65, 143, 715

970 : 1, 2, 5, 10, 97, 194, 485, 970

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,715,970,468, is 1.

Now, the common factors can be found like this.

209:11x 19

715:5x 11x 13

970:2x 5x 97

468:2x 2x 3x 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.

2x 5x 11x 13 = 1430

Therefore, the value for common factors is 1430.

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 = 67837512600/(1x1430)

LCM = 67837512600/1430

LCM = 47438820

Thus, we can understand that the LCM of 209,715,970,468 is 47438820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 715, 970, 468

1. What is the LCM of 209, 715, 970, 468?

Answer: LCM of 209, 715, 970, 468 is 47438820.

2. How to calculate the LCM of 209, 715, 970, 468?

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 209, 715, 970, 468.

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}.