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LCM of 834, 253, 220

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


Find the LCM of 834, 253, 220 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 834, 253, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,253,220

Given numbers are 834,253,220

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

The LCM of 834,253,220 is 2110020.

Find LCM of 834,253,220 with Prime Factorization


2 834, 253, 220
11 417, 253, 110
417, 23, 10

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

2 x 11 x 417 x 23 x 10 = 2110020

Therefore, the lowest common multiple of 834,253,220 is 2110020.

LCM Formula to Find Lowest Common Multiple of 834,253,220

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.

834 x 253 x 220 = 46420440

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

253 : 1, 11, 23, 253

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,253,220, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

253:11x 23

220:2x 2x 5x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 46420440/(1x22)

LCM = 46420440/22

LCM = 2110020

Thus, we can understand that the LCM of 834,253,220 is 2110020.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 834, 253, 220

1. What is the LCM of 834, 253, 220?

Answer: LCM of 834, 253, 220 is 2110020.

2. How to calculate the LCM of 834, 253, 220?

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 834, 253, 220.

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}.