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LCM of 471, 628, 708, 290

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


Find the LCM of 471, 628, 708, 290 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 471, 628, 708, 290. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 471,628,708,290

Given numbers are 471,628,708,290

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

The LCM of 471,628,708,290 is 16117620.

Find LCM of 471,628,708,290 with Prime Factorization


2 471, 628, 708, 290
2 471, 314, 354, 145
3 471, 157, 177, 145
157 157, 157, 59, 145
1, 1, 59, 145

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

2 x 2 x 3 x 157 x 1 x 1 x 59 x 145 = 16117620

Therefore, the lowest common multiple of 471,628,708,290 is 16117620.

LCM Formula to Find Lowest Common Multiple of 471,628,708,290

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.

471 x 628 x 708 x 290 = 60731192160

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.

471 : 1, 3, 157, 471

628 : 1, 2, 4, 157, 314, 628

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,628,708,290, is 1.

Now, the common factors can be found like this.

471:3x 157

628:2x 2x 157

708:2x 2x 3x 59

290:2x 5x 29

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 157 = 3768

Therefore, the value for common factors is 3768.

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 = 60731192160/(1x3768)

LCM = 60731192160/3768

LCM = 16117620

Thus, we can understand that the LCM of 471,628,708,290 is 16117620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 471, 628, 708, 290

1. What is the LCM of 471, 628, 708, 290?

Answer: LCM of 471, 628, 708, 290 is 16117620.

2. How to calculate the LCM of 471, 628, 708, 290?

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 471, 628, 708, 290.

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}.