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LCM of 716, 436, 327, 897

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


Find the LCM of 716, 436, 327, 897 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 716, 436, 327, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,436,327,897

Given numbers are 716,436,327,897

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

The LCM of 716,436,327,897 is 70005468.

Find LCM of 716,436,327,897 with Prime Factorization


2 716, 436, 327, 897
2 358, 218, 327, 897
3 179, 109, 327, 897
109 179, 109, 109, 299
179, 1, 1, 299

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

2 x 2 x 3 x 109 x 179 x 1 x 1 x 299 = 70005468

Therefore, the lowest common multiple of 716,436,327,897 is 70005468.

LCM Formula to Find Lowest Common Multiple of 716,436,327,897

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.

716 x 436 x 327 x 897 = 91567152144

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.

716 : 1, 2, 4, 179, 358, 716

436 : 1, 2, 4, 109, 218, 436

327 : 1, 3, 109, 327

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,436,327,897, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

436:2x 2x 109

327:3x 109

897:3x 13x 23

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 3x 109 = 1308

Therefore, the value for common factors is 1308.

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 = 91567152144/(1x1308)

LCM = 91567152144/1308

LCM = 70005468

Thus, we can understand that the LCM of 716,436,327,897 is 70005468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 436, 327, 897

1. What is the LCM of 716, 436, 327, 897?

Answer: LCM of 716, 436, 327, 897 is 70005468.

2. How to calculate the LCM of 716, 436, 327, 897?

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 716, 436, 327, 897.

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}.