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LCM of 880, 161, 473, 113, 258

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


Find the LCM of 880, 161, 473, 113, 258 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 880, 161, 473, 113, 258. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,161,473,113,258

Given numbers are 880,161,473,113,258

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

The LCM of 880,161,473,113,258 is 2065269360.

Find LCM of 880,161,473,113,258 with Prime Factorization


2 880, 161, 473, 113, 258
11 440, 161, 473, 113, 129
43 40, 161, 43, 113, 129
40, 161, 1, 113, 3

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

2 x 11 x 43 x 40 x 161 x 1 x 113 x 3 = 2065269360

Therefore, the lowest common multiple of 880,161,473,113,258 is 2065269360.

LCM Formula to Find Lowest Common Multiple of 880,161,473,113,258

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.

880 x 161 x 473 x 113 x 258 = 1953744814560

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

161 : 1, 7, 23, 161

473 : 1, 11, 43, 473

113 : 1, 113

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,161,473,113,258, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

161:7x 23

473:11x 43

113:113

258:2x 3x 43

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

2x 11x 43 = 946

Therefore, the value for common factors is 946.

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 = 1953744814560/(1x946)

LCM = 1953744814560/946

LCM = 2065269360

Thus, we can understand that the LCM of 880,161,473,113,258 is 2065269360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 161, 473, 113, 258

1. What is the LCM of 880, 161, 473, 113, 258?

Answer: LCM of 880, 161, 473, 113, 258 is 2065269360.

2. How to calculate the LCM of 880, 161, 473, 113, 258?

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 880, 161, 473, 113, 258.

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}.