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LCM of 418, 671, 424, 562

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


Find the LCM of 418, 671, 424, 562 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, 671, 424, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,671,424,562

Given numbers are 418,671,424,562

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

The LCM of 418,671,424,562 is 1518966856.

Find LCM of 418,671,424,562 with Prime Factorization


2 418, 671, 424, 562
11 209, 671, 212, 281
19, 61, 212, 281

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

2 x 11 x 19 x 61 x 212 x 281 = 1518966856

Therefore, the lowest common multiple of 418,671,424,562 is 1518966856.

LCM Formula to Find Lowest Common Multiple of 418,671,424,562

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 671 x 424 x 562 = 66834541664

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

671 : 1, 11, 61, 671

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

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,671,424,562, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

671:11x 61

424:2x 2x 2x 53

562:2x 281

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 = 66834541664/(1x44)

LCM = 66834541664/44

LCM = 1518966856

Thus, we can understand that the LCM of 418,671,424,562 is 1518966856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 671, 424, 562

1. What is the LCM of 418, 671, 424, 562?

Answer: LCM of 418, 671, 424, 562 is 1518966856.

2. How to calculate the LCM of 418, 671, 424, 562?

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, 671, 424, 562.

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}.