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LCM of 408, 528, 989, 161, 976

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


Find the LCM of 408, 528, 989, 161, 976 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 408, 528, 989, 161, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,528,989,161,976

Given numbers are 408,528,989,161,976

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

The LCM of 408,528,989,161,976 is 3790591728.

Find LCM of 408,528,989,161,976 with Prime Factorization


2 408, 528, 989, 161, 976
2 204, 264, 989, 161, 488
2 102, 132, 989, 161, 244
2 51, 66, 989, 161, 122
3 51, 33, 989, 161, 61
23 17, 11, 989, 161, 61
17, 11, 43, 7, 61

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

2 x 2 x 2 x 2 x 3 x 23 x 17 x 11 x 43 x 7 x 61 = 3790591728

Therefore, the lowest common multiple of 408,528,989,161,976 is 3790591728.

LCM Formula to Find Lowest Common Multiple of 408,528,989,161,976

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.

408 x 528 x 989 x 161 x 976 = 33478506141696

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

989 : 1, 23, 43, 989

161 : 1, 7, 23, 161

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,528,989,161,976, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

528:2x 2x 2x 2x 3x 11

989:23x 43

161:7x 23

976:2x 2x 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 2x 2x 2x 2x 2x 3x 23 = 8832

Therefore, the value for common factors is 8832.

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 = 33478506141696/(1x8832)

LCM = 33478506141696/8832

LCM = 3790591728

Thus, we can understand that the LCM of 408,528,989,161,976 is 3790591728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 528, 989, 161, 976

1. What is the LCM of 408, 528, 989, 161, 976?

Answer: LCM of 408, 528, 989, 161, 976 is 3790591728.

2. How to calculate the LCM of 408, 528, 989, 161, 976?

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 408, 528, 989, 161, 976.

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}.