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LCM of 610, 416, 681, 351, 403

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


Find the LCM of 610, 416, 681, 351, 403 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 610, 416, 681, 351, 403. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 610,416,681,351,403

Given numbers are 610,416,681,351,403

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

The LCM of 610,416,681,351,403 is 24107073120.

Find LCM of 610,416,681,351,403 with Prime Factorization


2 610, 416, 681, 351, 403
3 305, 208, 681, 351, 403
13 305, 208, 227, 117, 403
305, 16, 227, 9, 31

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

2 x 3 x 13 x 305 x 16 x 227 x 9 x 31 = 24107073120

Therefore, the lowest common multiple of 610,416,681,351,403 is 24107073120.

LCM Formula to Find Lowest Common Multiple of 610,416,681,351,403

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.

610 x 416 x 681 x 351 x 403 = 24444572143680

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

681 : 1, 3, 227, 681

351 : 1, 3, 9, 13, 27, 39, 117, 351

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,416,681,351,403, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

416:2x 2x 2x 2x 2x 13

681:3x 227

351:3x 3x 3x 13

403:13x 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 3x 13x 13 = 1014

Therefore, the value for common factors is 1014.

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 = 24444572143680/(1x1014)

LCM = 24444572143680/1014

LCM = 24107073120

Thus, we can understand that the LCM of 610,416,681,351,403 is 24107073120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 610, 416, 681, 351, 403

1. What is the LCM of 610, 416, 681, 351, 403?

Answer: LCM of 610, 416, 681, 351, 403 is 24107073120.

2. How to calculate the LCM of 610, 416, 681, 351, 403?

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 610, 416, 681, 351, 403.

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}.