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LCM of 710, 923, 419, 564

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


Find the LCM of 710, 923, 419, 564 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 710, 923, 419, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 710,923,419,564

Given numbers are 710,923,419,564

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

The LCM of 710,923,419,564 is 1090598340.

Find LCM of 710,923,419,564 with Prime Factorization


2 710, 923, 419, 564
71 355, 923, 419, 282
5, 13, 419, 282

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

2 x 71 x 5 x 13 x 419 x 282 = 1090598340

Therefore, the lowest common multiple of 710,923,419,564 is 1090598340.

LCM Formula to Find Lowest Common Multiple of 710,923,419,564

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.

710 x 923 x 419 x 564 = 154864964280

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

923 : 1, 13, 71, 923

419 : 1, 419

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,923,419,564, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

923:13x 71

419:419

564:2x 2x 3x 47

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 154864964280/(1x142)

LCM = 154864964280/142

LCM = 1090598340

Thus, we can understand that the LCM of 710,923,419,564 is 1090598340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 710, 923, 419, 564

1. What is the LCM of 710, 923, 419, 564?

Answer: LCM of 710, 923, 419, 564 is 1090598340.

2. How to calculate the LCM of 710, 923, 419, 564?

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 710, 923, 419, 564.

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}.