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LCM of 682, 527, 451

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


Find the LCM of 682, 527, 451 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 682, 527, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,527,451

Given numbers are 682,527,451

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

The LCM of 682,527,451 is 475354.

Find LCM of 682,527,451 with Prime Factorization


11 682, 527, 451
31 62, 527, 41
2, 17, 41

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

11 x 31 x 2 x 17 x 41 = 475354

Therefore, the lowest common multiple of 682,527,451 is 475354.

LCM Formula to Find Lowest Common Multiple of 682,527,451

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.

682 x 527 x 451 = 162095714

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

527 : 1, 17, 31, 527

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,527,451, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

527:17x 31

451:11x 41

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

11x 31 = 341

Therefore, the value for common factors is 341.

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 = 162095714/(1x341)

LCM = 162095714/341

LCM = 475354

Thus, we can understand that the LCM of 682,527,451 is 475354.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 682, 527, 451

1. What is the LCM of 682, 527, 451?

Answer: LCM of 682, 527, 451 is 475354.

2. How to calculate the LCM of 682, 527, 451?

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 682, 527, 451.

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}.