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LCM of 719, 594, 680, 826, 885

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


Find the LCM of 719, 594, 680, 826, 885 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 719, 594, 680, 826, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,594,680,826,885

Given numbers are 719,594,680,826,885

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

The LCM of 719,594,680,826,885 is 59971416120.

Find LCM of 719,594,680,826,885 with Prime Factorization


2 719, 594, 680, 826, 885
3 719, 297, 340, 413, 885
5 719, 99, 340, 413, 295
59 719, 99, 68, 413, 59
719, 99, 68, 7, 1

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

2 x 3 x 5 x 59 x 719 x 99 x 68 x 7 x 1 = 59971416120

Therefore, the lowest common multiple of 719,594,680,826,885 is 59971416120.

LCM Formula to Find Lowest Common Multiple of 719,594,680,826,885

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.

719 x 594 x 680 x 826 x 885 = 212298813064800

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.

719 : 1, 719

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

826 : 1, 2, 7, 14, 59, 118, 413, 826

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,594,680,826,885, is 1.

Now, the common factors can be found like this.

719:719

594:2x 3x 3x 3x 11

680:2x 2x 2x 5x 17

826:2x 7x 59

885:3x 5x 59

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 5x 59 = 3540

Therefore, the value for common factors is 3540.

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 = 212298813064800/(1x3540)

LCM = 212298813064800/3540

LCM = 59971416120

Thus, we can understand that the LCM of 719,594,680,826,885 is 59971416120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 594, 680, 826, 885

1. What is the LCM of 719, 594, 680, 826, 885?

Answer: LCM of 719, 594, 680, 826, 885 is 59971416120.

2. How to calculate the LCM of 719, 594, 680, 826, 885?

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 719, 594, 680, 826, 885.

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}.