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LCM of 624, 493, 986, 562

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


Find the LCM of 624, 493, 986, 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 624, 493, 986, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,493,986,562

Given numbers are 624,493,986,562

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

The LCM of 624,493,986,562 is 86444592.

Find LCM of 624,493,986,562 with Prime Factorization


2 624, 493, 986, 562
17 312, 493, 493, 281
29 312, 29, 29, 281
312, 1, 1, 281

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

2 x 17 x 29 x 312 x 1 x 1 x 281 = 86444592

Therefore, the lowest common multiple of 624,493,986,562 is 86444592.

LCM Formula to Find Lowest Common Multiple of 624,493,986,562

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.

624 x 493 x 986 x 562 = 170468735424

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

493 : 1, 17, 29, 493

986 : 1, 2, 17, 29, 34, 58, 493, 986

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,493,986,562, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

493:17x 29

986:2x 17x 29

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 17x 29 = 1972

Therefore, the value for common factors is 1972.

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 = 170468735424/(1x1972)

LCM = 170468735424/1972

LCM = 86444592

Thus, we can understand that the LCM of 624,493,986,562 is 86444592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 493, 986, 562

1. What is the LCM of 624, 493, 986, 562?

Answer: LCM of 624, 493, 986, 562 is 86444592.

2. How to calculate the LCM of 624, 493, 986, 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 624, 493, 986, 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}.