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LCM of 662, 230, 664, 848, 988

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


Find the LCM of 662, 230, 664, 848, 988 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 662, 230, 664, 848, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,230,664,848,988

Given numbers are 662,230,664,848,988

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

The LCM of 662,230,664,848,988 is 661754239120.

Find LCM of 662,230,664,848,988 with Prime Factorization


2 662, 230, 664, 848, 988
2 331, 115, 332, 424, 494
2 331, 115, 166, 212, 247
331, 115, 83, 106, 247

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

2 x 2 x 2 x 331 x 115 x 83 x 106 x 247 = 661754239120

Therefore, the lowest common multiple of 662,230,664,848,988 is 661754239120.

LCM Formula to Find Lowest Common Multiple of 662,230,664,848,988

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.

662 x 230 x 664 x 848 x 988 = 84704542607360

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.

662 : 1, 2, 331, 662

230 : 1, 2, 5, 10, 23, 46, 115, 230

664 : 1, 2, 4, 8, 83, 166, 332, 664

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,230,664,848,988, is 2.

Now, the common factors can be found like this.

662:2x 331

230:2x 5x 23

664:2x 2x 2x 83

848:2x 2x 2x 2x 53

988:2x 2x 13x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 84704542607360/(2x64)

LCM = 84704542607360/128

LCM = 661754239120

Thus, we can understand that the LCM of 662,230,664,848,988 is 661754239120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 230, 664, 848, 988

1. What is the LCM of 662, 230, 664, 848, 988?

Answer: LCM of 662, 230, 664, 848, 988 is 661754239120.

2. How to calculate the LCM of 662, 230, 664, 848, 988?

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 662, 230, 664, 848, 988.

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}.