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LCM of 397, 155, 899, 236, 219

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


Find the LCM of 397, 155, 899, 236, 219 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 397, 155, 899, 236, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,155,899,236,219

Given numbers are 397,155,899,236,219

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

The LCM of 397,155,899,236,219 is 92230873260.

Find LCM of 397,155,899,236,219 with Prime Factorization


31 397, 155, 899, 236, 219
397, 5, 29, 236, 219

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

31 x 397 x 5 x 29 x 236 x 219 = 92230873260

Therefore, the lowest common multiple of 397,155,899,236,219 is 92230873260.

LCM Formula to Find Lowest Common Multiple of 397,155,899,236,219

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.

397 x 155 x 899 x 236 x 219 = 2859157071060

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.

397 : 1, 397

155 : 1, 5, 31, 155

899 : 1, 29, 31, 899

236 : 1, 2, 4, 59, 118, 236

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,155,899,236,219, is 1.

Now, the common factors can be found like this.

397:397

155:5x 31

899:29x 31

236:2x 2x 59

219:3x 73

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

31 = 31

Therefore, the value for common factors is 31.

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 = 2859157071060/(1x31)

LCM = 2859157071060/31

LCM = 92230873260

Thus, we can understand that the LCM of 397,155,899,236,219 is 92230873260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 155, 899, 236, 219

1. What is the LCM of 397, 155, 899, 236, 219?

Answer: LCM of 397, 155, 899, 236, 219 is 92230873260.

2. How to calculate the LCM of 397, 155, 899, 236, 219?

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 397, 155, 899, 236, 219.

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}.