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LCM of 620, 488, 192, 865

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


Find the LCM of 620, 488, 192, 865 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 620, 488, 192, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 620,488,192,865

Given numbers are 620,488,192,865

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

The LCM of 620,488,192,865 is 314057280.

Find LCM of 620,488,192,865 with Prime Factorization


2 620, 488, 192, 865
2 310, 244, 96, 865
2 155, 122, 48, 865
5 155, 61, 24, 865
31, 61, 24, 173

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

2 x 2 x 2 x 5 x 31 x 61 x 24 x 173 = 314057280

Therefore, the lowest common multiple of 620,488,192,865 is 314057280.

LCM Formula to Find Lowest Common Multiple of 620,488,192,865

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.

620 x 488 x 192 x 865 = 50249164800

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.

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

488 : 1, 2, 4, 8, 61, 122, 244, 488

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,488,192,865, is 1.

Now, the common factors can be found like this.

620:2x 2x 5x 31

488:2x 2x 2x 61

192:2x 2x 2x 2x 2x 2x 3

865:5x 173

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 5 = 160

Therefore, the value for common factors is 160.

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 = 50249164800/(1x160)

LCM = 50249164800/160

LCM = 314057280

Thus, we can understand that the LCM of 620,488,192,865 is 314057280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 620, 488, 192, 865

1. What is the LCM of 620, 488, 192, 865?

Answer: LCM of 620, 488, 192, 865 is 314057280.

2. How to calculate the LCM of 620, 488, 192, 865?

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 620, 488, 192, 865.

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}.