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LCM of 395, 152, 782, 306

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


Find the LCM of 395, 152, 782, 306 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 395, 152, 782, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,152,782,306

Given numbers are 395,152,782,306

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

The LCM of 395,152,782,306 is 211280760.

Find LCM of 395,152,782,306 with Prime Factorization


2 395, 152, 782, 306
17 395, 76, 391, 153
395, 76, 23, 9

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

2 x 17 x 395 x 76 x 23 x 9 = 211280760

Therefore, the lowest common multiple of 395,152,782,306 is 211280760.

LCM Formula to Find Lowest Common Multiple of 395,152,782,306

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.

395 x 152 x 782 x 306 = 14367091680

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.

395 : 1, 5, 79, 395

152 : 1, 2, 4, 8, 19, 38, 76, 152

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,152,782,306, is 1.

Now, the common factors can be found like this.

395:5x 79

152:2x 2x 2x 19

782:2x 17x 23

306:2x 3x 3x 17

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 17 = 68

Therefore, the value for common factors is 68.

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 = 14367091680/(1x68)

LCM = 14367091680/68

LCM = 211280760

Thus, we can understand that the LCM of 395,152,782,306 is 211280760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 152, 782, 306

1. What is the LCM of 395, 152, 782, 306?

Answer: LCM of 395, 152, 782, 306 is 211280760.

2. How to calculate the LCM of 395, 152, 782, 306?

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 395, 152, 782, 306.

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}.