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LCM of 858, 484, 788, 242, 644

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


Find the LCM of 858, 484, 788, 242, 644 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 858, 484, 788, 242, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,484,788,242,644

Given numbers are 858,484,788,242,644

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

The LCM of 858,484,788,242,644 is 598690092.

Find LCM of 858,484,788,242,644 with Prime Factorization


2 858, 484, 788, 242, 644
2 429, 242, 394, 121, 322
11 429, 121, 197, 121, 161
11 39, 11, 197, 11, 161
39, 1, 197, 1, 161

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

2 x 2 x 11 x 11 x 39 x 1 x 197 x 1 x 161 = 598690092

Therefore, the lowest common multiple of 858,484,788,242,644 is 598690092.

LCM Formula to Find Lowest Common Multiple of 858,484,788,242,644

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.

858 x 484 x 788 x 242 x 644 = 50998816796928

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

788 : 1, 2, 4, 197, 394, 788

242 : 1, 2, 11, 22, 121, 242

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,484,788,242,644, is 2.

Now, the common factors can be found like this.

858:2x 3x 11x 13

484:2x 2x 11x 11

788:2x 2x 197

242:2x 11x 11

644:2x 2x 7x 23

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 2x 2x 11x 11x 11 = 42592

Therefore, the value for common factors is 42592.

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 = 50998816796928/(2x42592)

LCM = 50998816796928/85184

LCM = 598690092

Thus, we can understand that the LCM of 858,484,788,242,644 is 598690092.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 484, 788, 242, 644

1. What is the LCM of 858, 484, 788, 242, 644?

Answer: LCM of 858, 484, 788, 242, 644 is 598690092.

2. How to calculate the LCM of 858, 484, 788, 242, 644?

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 858, 484, 788, 242, 644.

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}.