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LCM of 395, 303, 722, 214

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


Find the LCM of 395, 303, 722, 214 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, 303, 722, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,303,722,214

Given numbers are 395,303,722,214

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

The LCM of 395,303,722,214 is 9246144990.

Find LCM of 395,303,722,214 with Prime Factorization


2 395, 303, 722, 214
395, 303, 361, 107

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

2 x 395 x 303 x 361 x 107 = 9246144990

Therefore, the lowest common multiple of 395,303,722,214 is 9246144990.

LCM Formula to Find Lowest Common Multiple of 395,303,722,214

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 303 x 722 x 214 = 18492289980

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

303 : 1, 3, 101, 303

722 : 1, 2, 19, 38, 361, 722

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,303,722,214, is 1.

Now, the common factors can be found like this.

395:5x 79

303:3x 101

722:2x 19x 19

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 18492289980/(1x2)

LCM = 18492289980/2

LCM = 9246144990

Thus, we can understand that the LCM of 395,303,722,214 is 9246144990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 303, 722, 214

1. What is the LCM of 395, 303, 722, 214?

Answer: LCM of 395, 303, 722, 214 is 9246144990.

2. How to calculate the LCM of 395, 303, 722, 214?

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, 303, 722, 214.

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}.