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LCM of 235, 899, 145, 466

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


Find the LCM of 235, 899, 145, 466 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 235, 899, 145, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,899,145,466

Given numbers are 235,899,145,466

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

The LCM of 235,899,145,466 is 98449490.

Find LCM of 235,899,145,466 with Prime Factorization


5 235, 899, 145, 466
29 47, 899, 29, 466
47, 31, 1, 466

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

5 x 29 x 47 x 31 x 1 x 466 = 98449490

Therefore, the lowest common multiple of 235,899,145,466 is 98449490.

LCM Formula to Find Lowest Common Multiple of 235,899,145,466

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.

235 x 899 x 145 x 466 = 14275176050

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.

235 : 1, 5, 47, 235

899 : 1, 29, 31, 899

145 : 1, 5, 29, 145

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,899,145,466, is 1.

Now, the common factors can be found like this.

235:5x 47

899:29x 31

145:5x 29

466:2x 233

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

5x 29 = 145

Therefore, the value for common factors is 145.

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 = 14275176050/(1x145)

LCM = 14275176050/145

LCM = 98449490

Thus, we can understand that the LCM of 235,899,145,466 is 98449490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 899, 145, 466

1. What is the LCM of 235, 899, 145, 466?

Answer: LCM of 235, 899, 145, 466 is 98449490.

2. How to calculate the LCM of 235, 899, 145, 466?

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 235, 899, 145, 466.

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}.