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LCM of 678, 488, 161, 452

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


Find the LCM of 678, 488, 161, 452 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 678, 488, 161, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,488,161,452

Given numbers are 678,488,161,452

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

The LCM of 678,488,161,452 is 26634552.

Find LCM of 678,488,161,452 with Prime Factorization


2 678, 488, 161, 452
2 339, 244, 161, 226
113 339, 122, 161, 113
3, 122, 161, 1

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

2 x 2 x 113 x 3 x 122 x 161 x 1 = 26634552

Therefore, the lowest common multiple of 678,488,161,452 is 26634552.

LCM Formula to Find Lowest Common Multiple of 678,488,161,452

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.

678 x 488 x 161 x 452 = 24077635008

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

161 : 1, 7, 23, 161

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,488,161,452, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

488:2x 2x 2x 61

161:7x 23

452:2x 2x 113

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 113 = 904

Therefore, the value for common factors is 904.

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 = 24077635008/(1x904)

LCM = 24077635008/904

LCM = 26634552

Thus, we can understand that the LCM of 678,488,161,452 is 26634552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 488, 161, 452

1. What is the LCM of 678, 488, 161, 452?

Answer: LCM of 678, 488, 161, 452 is 26634552.

2. How to calculate the LCM of 678, 488, 161, 452?

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 678, 488, 161, 452.

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}.