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LCM of 177, 460, 708, 230

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


Find the LCM of 177, 460, 708, 230 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 177, 460, 708, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,460,708,230

Given numbers are 177,460,708,230

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

The LCM of 177,460,708,230 is 81420.

Find LCM of 177,460,708,230 with Prime Factorization


2 177, 460, 708, 230
2 177, 230, 354, 115
3 177, 115, 177, 115
5 59, 115, 59, 115
23 59, 23, 59, 23
59 59, 1, 59, 1
1, 1, 1, 1

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

2 x 2 x 3 x 5 x 23 x 59 x 1 x 1 x 1 x 1 = 81420

Therefore, the lowest common multiple of 177,460,708,230 is 81420.

LCM Formula to Find Lowest Common Multiple of 177,460,708,230

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.

177 x 460 x 708 x 230 = 13258432800

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.

177 : 1, 3, 59, 177

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,460,708,230, is 1.

Now, the common factors can be found like this.

177:3x 59

460:2x 2x 5x 23

708:2x 2x 3x 59

230:2x 5x 23

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

2x 2x 2x 3x 5x 23x 59 = 162840

Therefore, the value for common factors is 162840.

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 = 13258432800/(1x162840)

LCM = 13258432800/162840

LCM = 81420

Thus, we can understand that the LCM of 177,460,708,230 is 81420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 177, 460, 708, 230

1. What is the LCM of 177, 460, 708, 230?

Answer: LCM of 177, 460, 708, 230 is 81420.

2. How to calculate the LCM of 177, 460, 708, 230?

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 177, 460, 708, 230.

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}.