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LCM of 683, 486, 424, 402, 474

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


Find the LCM of 683, 486, 424, 402, 474 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 683, 486, 424, 402, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 683,486,424,402,474

Given numbers are 683,486,424,402,474

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

The LCM of 683,486,424,402,474 is 372472940808.

Find LCM of 683,486,424,402,474 with Prime Factorization


2 683, 486, 424, 402, 474
3 683, 243, 212, 201, 237
683, 81, 212, 67, 79

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

2 x 3 x 683 x 81 x 212 x 67 x 79 = 372472940808

Therefore, the lowest common multiple of 683,486,424,402,474 is 372472940808.

LCM Formula to Find Lowest Common Multiple of 683,486,424,402,474

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.

683 x 486 x 424 x 402 x 474 = 26818051738176

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.

683 : 1, 683

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

424 : 1, 2, 4, 8, 53, 106, 212, 424

402 : 1, 2, 3, 6, 67, 134, 201, 402

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,486,424,402,474, is 1.

Now, the common factors can be found like this.

683:683

486:2x 3x 3x 3x 3x 3

424:2x 2x 2x 53

402:2x 3x 67

474:2x 3x 79

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 3 = 72

Therefore, the value for common factors is 72.

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 = 26818051738176/(1x72)

LCM = 26818051738176/72

LCM = 372472940808

Thus, we can understand that the LCM of 683,486,424,402,474 is 372472940808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 683, 486, 424, 402, 474

1. What is the LCM of 683, 486, 424, 402, 474?

Answer: LCM of 683, 486, 424, 402, 474 is 372472940808.

2. How to calculate the LCM of 683, 486, 424, 402, 474?

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 683, 486, 424, 402, 474.

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}.