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LCM of 610, 411, 771, 658, 244

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


Find the LCM of 610, 411, 771, 658, 244 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, 411, 771, 658, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 610,411,771,658,244

Given numbers are 610,411,771,658,244

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

The LCM of 610,411,771,658,244 is 42396565260.

Find LCM of 610,411,771,658,244 with Prime Factorization


2 610, 411, 771, 658, 244
3 305, 411, 771, 329, 122
61 305, 137, 257, 329, 122
5, 137, 257, 329, 2

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

2 x 3 x 61 x 5 x 137 x 257 x 329 x 2 = 42396565260

Therefore, the lowest common multiple of 610,411,771,658,244 is 42396565260.

LCM Formula to Find Lowest Common Multiple of 610,411,771,658,244

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 411 x 771 x 658 x 244 = 31034285770320

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

411 : 1, 3, 137, 411

771 : 1, 3, 257, 771

658 : 1, 2, 7, 14, 47, 94, 329, 658

244 : 1, 2, 4, 61, 122, 244

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,411,771,658,244, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

411:3x 137

771:3x 257

658:2x 7x 47

244:2x 2x 61

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 3x 61 = 732

Therefore, the value for common factors is 732.

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 = 31034285770320/(1x732)

LCM = 31034285770320/732

LCM = 42396565260

Thus, we can understand that the LCM of 610,411,771,658,244 is 42396565260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 610, 411, 771, 658, 244

1. What is the LCM of 610, 411, 771, 658, 244?

Answer: LCM of 610, 411, 771, 658, 244 is 42396565260.

2. How to calculate the LCM of 610, 411, 771, 658, 244?

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, 411, 771, 658, 244.

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}.