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LCM of 628, 785, 839, 471

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


Find the LCM of 628, 785, 839, 471 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 628, 785, 839, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 628,785,839,471

Given numbers are 628,785,839,471

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

The LCM of 628,785,839,471 is 7903380.

Find LCM of 628,785,839,471 with Prime Factorization


157 628, 785, 839, 471
4, 5, 839, 3

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

157 x 4 x 5 x 839 x 3 = 7903380

Therefore, the lowest common multiple of 628,785,839,471 is 7903380.

LCM Formula to Find Lowest Common Multiple of 628,785,839,471

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.

628 x 785 x 839 x 471 = 194810413620

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.

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

785 : 1, 5, 157, 785

839 : 1, 839

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,785,839,471, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

785:5x 157

839:839

471:3x 157

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

157x 157 = 24649

Therefore, the value for common factors is 24649.

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 = 194810413620/(1x24649)

LCM = 194810413620/24649

LCM = 7903380

Thus, we can understand that the LCM of 628,785,839,471 is 7903380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 628, 785, 839, 471

1. What is the LCM of 628, 785, 839, 471?

Answer: LCM of 628, 785, 839, 471 is 7903380.

2. How to calculate the LCM of 628, 785, 839, 471?

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 628, 785, 839, 471.

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}.