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LCM of 247, 954, 156, 318, 678

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


Find the LCM of 247, 954, 156, 318, 678 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 247, 954, 156, 318, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,954,156,318,678

Given numbers are 247,954,156,318,678

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

The LCM of 247,954,156,318,678 is 53254188.

Find LCM of 247,954,156,318,678 with Prime Factorization


2 247, 954, 156, 318, 678
3 247, 477, 78, 159, 339
13 247, 53, 26, 159, 113
53 19, 53, 2, 159, 113
19, 1, 2, 3, 113

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

2 x 3 x 13 x 53 x 19 x 1 x 2 x 3 x 113 = 53254188

Therefore, the lowest common multiple of 247,954,156,318,678 is 53254188.

LCM Formula to Find Lowest Common Multiple of 247,954,156,318,678

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.

247 x 954 x 156 x 318 x 678 = 7925501274912

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.

247 : 1, 13, 19, 247

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

318 : 1, 2, 3, 6, 53, 106, 159, 318

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,954,156,318,678, is 1.

Now, the common factors can be found like this.

247:13x 19

954:2x 3x 3x 53

156:2x 2x 3x 13

318:2x 3x 53

678:2x 3x 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 3x 3x 3x 13x 53 = 148824

Therefore, the value for common factors is 148824.

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 = 7925501274912/(1x148824)

LCM = 7925501274912/148824

LCM = 53254188

Thus, we can understand that the LCM of 247,954,156,318,678 is 53254188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 954, 156, 318, 678

1. What is the LCM of 247, 954, 156, 318, 678?

Answer: LCM of 247, 954, 156, 318, 678 is 53254188.

2. How to calculate the LCM of 247, 954, 156, 318, 678?

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 247, 954, 156, 318, 678.

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}.