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LCM of 418, 762, 544, 682

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


Find the LCM of 418, 762, 544, 682 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 418, 762, 544, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,762,544,682

Given numbers are 418,762,544,682

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

The LCM of 418,762,544,682 is 1342863456.

Find LCM of 418,762,544,682 with Prime Factorization


2 418, 762, 544, 682
11 209, 381, 272, 341
19, 381, 272, 31

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

2 x 11 x 19 x 381 x 272 x 31 = 1342863456

Therefore, the lowest common multiple of 418,762,544,682 is 1342863456.

LCM Formula to Find Lowest Common Multiple of 418,762,544,682

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.

418 x 762 x 544 x 682 = 118171984128

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

762 : 1, 2, 3, 6, 127, 254, 381, 762

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,762,544,682, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

762:2x 3x 127

544:2x 2x 2x 2x 2x 17

682:2x 11x 31

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 11 = 44

Therefore, the value for common factors is 44.

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 = 118171984128/(2x44)

LCM = 118171984128/88

LCM = 1342863456

Thus, we can understand that the LCM of 418,762,544,682 is 1342863456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 762, 544, 682

1. What is the LCM of 418, 762, 544, 682?

Answer: LCM of 418, 762, 544, 682 is 1342863456.

2. How to calculate the LCM of 418, 762, 544, 682?

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 418, 762, 544, 682.

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}.