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LCM of 314, 922, 247, 666, 629

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


Find the LCM of 314, 922, 247, 666, 629 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 314, 922, 247, 666, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,922,247,666,629

Given numbers are 314,922,247,666,629

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

The LCM of 314,922,247,666,629 is 202404741318.

Find LCM of 314,922,247,666,629 with Prime Factorization


2 314, 922, 247, 666, 629
37 157, 461, 247, 333, 629
157, 461, 247, 9, 17

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

2 x 37 x 157 x 461 x 247 x 9 x 17 = 202404741318

Therefore, the lowest common multiple of 314,922,247,666,629 is 202404741318.

LCM Formula to Find Lowest Common Multiple of 314,922,247,666,629

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.

314 x 922 x 247 x 666 x 629 = 29955901715064

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.

314 : 1, 2, 157, 314

922 : 1, 2, 461, 922

247 : 1, 13, 19, 247

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,922,247,666,629, is 1.

Now, the common factors can be found like this.

314:2x 157

922:2x 461

247:13x 19

666:2x 3x 3x 37

629:17x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 29955901715064/(1x148)

LCM = 29955901715064/148

LCM = 202404741318

Thus, we can understand that the LCM of 314,922,247,666,629 is 202404741318.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 922, 247, 666, 629

1. What is the LCM of 314, 922, 247, 666, 629?

Answer: LCM of 314, 922, 247, 666, 629 is 202404741318.

2. How to calculate the LCM of 314, 922, 247, 666, 629?

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 314, 922, 247, 666, 629.

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}.