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LCM of 145, 315, 596, 782

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


Find the LCM of 145, 315, 596, 782 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 145, 315, 596, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,315,596,782

Given numbers are 145,315,596,782

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

The LCM of 145,315,596,782 is 2128783860.

Find LCM of 145,315,596,782 with Prime Factorization


2 145, 315, 596, 782
5 145, 315, 298, 391
29, 63, 298, 391

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

2 x 5 x 29 x 63 x 298 x 391 = 2128783860

Therefore, the lowest common multiple of 145,315,596,782 is 2128783860.

LCM Formula to Find Lowest Common Multiple of 145,315,596,782

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.

145 x 315 x 596 x 782 = 21287838600

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.

145 : 1, 5, 29, 145

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

596 : 1, 2, 4, 149, 298, 596

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,315,596,782, is 1.

Now, the common factors can be found like this.

145:5x 29

315:3x 3x 5x 7

596:2x 2x 149

782:2x 17x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 21287838600/(1x10)

LCM = 21287838600/10

LCM = 2128783860

Thus, we can understand that the LCM of 145,315,596,782 is 2128783860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 145, 315, 596, 782

1. What is the LCM of 145, 315, 596, 782?

Answer: LCM of 145, 315, 596, 782 is 2128783860.

2. How to calculate the LCM of 145, 315, 596, 782?

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 145, 315, 596, 782.

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}.