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LCM of 681, 822, 471, 628

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


Find the LCM of 681, 822, 471, 628 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 681, 822, 471, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,822,471,628

Given numbers are 681,822,471,628

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

The LCM of 681,822,471,628 is 58590516.

Find LCM of 681,822,471,628 with Prime Factorization


2 681, 822, 471, 628
3 681, 411, 471, 314
157 227, 137, 157, 314
227, 137, 1, 2

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

2 x 3 x 157 x 227 x 137 x 1 x 2 = 58590516

Therefore, the lowest common multiple of 681,822,471,628 is 58590516.

LCM Formula to Find Lowest Common Multiple of 681,822,471,628

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.

681 x 822 x 471 x 628 = 165576798216

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.

681 : 1, 3, 227, 681

822 : 1, 2, 3, 6, 137, 274, 411, 822

471 : 1, 3, 157, 471

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,822,471,628, is 1.

Now, the common factors can be found like this.

681:3x 227

822:2x 3x 137

471:3x 157

628:2x 2x 157

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

2x 3x 3x 157 = 2826

Therefore, the value for common factors is 2826.

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 = 165576798216/(1x2826)

LCM = 165576798216/2826

LCM = 58590516

Thus, we can understand that the LCM of 681,822,471,628 is 58590516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 822, 471, 628

1. What is the LCM of 681, 822, 471, 628?

Answer: LCM of 681, 822, 471, 628 is 58590516.

2. How to calculate the LCM of 681, 822, 471, 628?

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 681, 822, 471, 628.

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}.