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LCM of 771, 551, 646, 102, 244

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


Find the LCM of 771, 551, 646, 102, 244 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 771, 551, 646, 102, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,551,646,102,244

Given numbers are 771,551,646,102,244

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

The LCM of 771,551,646,102,244 is 1762157508.

Find LCM of 771,551,646,102,244 with Prime Factorization


2 771, 551, 646, 102, 244
3 771, 551, 323, 51, 122
17 257, 551, 323, 17, 122
19 257, 551, 19, 1, 122
257, 29, 1, 1, 122

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

2 x 3 x 17 x 19 x 257 x 29 x 1 x 1 x 122 = 1762157508

Therefore, the lowest common multiple of 771,551,646,102,244 is 1762157508.

LCM Formula to Find Lowest Common Multiple of 771,551,646,102,244

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.

771 x 551 x 646 x 102 x 244 = 6830122501008

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.

771 : 1, 3, 257, 771

551 : 1, 19, 29, 551

646 : 1, 2, 17, 19, 34, 38, 323, 646

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,551,646,102,244, is 1.

Now, the common factors can be found like this.

771:3x 257

551:19x 29

646:2x 17x 19

102:2x 3x 17

244:2x 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 3x 17x 19 = 3876

Therefore, the value for common factors is 3876.

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 = 6830122501008/(1x3876)

LCM = 6830122501008/3876

LCM = 1762157508

Thus, we can understand that the LCM of 771,551,646,102,244 is 1762157508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 551, 646, 102, 244

1. What is the LCM of 771, 551, 646, 102, 244?

Answer: LCM of 771, 551, 646, 102, 244 is 1762157508.

2. How to calculate the LCM of 771, 551, 646, 102, 244?

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 771, 551, 646, 102, 244.

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}.