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LCM of 147, 551, 488, 247

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


Find the LCM of 147, 551, 488, 247 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 147, 551, 488, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 147,551,488,247

Given numbers are 147,551,488,247

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

The LCM of 147,551,488,247 is 513844968.

Find LCM of 147,551,488,247 with Prime Factorization


19 147, 551, 488, 247
147, 29, 488, 13

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

19 x 147 x 29 x 488 x 13 = 513844968

Therefore, the lowest common multiple of 147,551,488,247 is 513844968.

LCM Formula to Find Lowest Common Multiple of 147,551,488,247

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.

147 x 551 x 488 x 247 = 9763054392

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.

147 : 1, 3, 7, 21, 49, 147

551 : 1, 19, 29, 551

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

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,551,488,247, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

551:19x 29

488:2x 2x 2x 61

247:13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

19 = 19

Therefore, the value for common factors is 19.

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 = 9763054392/(1x19)

LCM = 9763054392/19

LCM = 513844968

Thus, we can understand that the LCM of 147,551,488,247 is 513844968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 147, 551, 488, 247

1. What is the LCM of 147, 551, 488, 247?

Answer: LCM of 147, 551, 488, 247 is 513844968.

2. How to calculate the LCM of 147, 551, 488, 247?

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 147, 551, 488, 247.

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}.