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LCM of 424, 901, 410, 668

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


Find the LCM of 424, 901, 410, 668 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 424, 901, 410, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 424,901,410,668

Given numbers are 424,901,410,668

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

The LCM of 424,901,410,668 is 246765880.

Find LCM of 424,901,410,668 with Prime Factorization


2 424, 901, 410, 668
2 212, 901, 205, 334
53 106, 901, 205, 167
2, 17, 205, 167

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

2 x 2 x 53 x 2 x 17 x 205 x 167 = 246765880

Therefore, the lowest common multiple of 424,901,410,668 is 246765880.

LCM Formula to Find Lowest Common Multiple of 424,901,410,668

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.

424 x 901 x 410 x 668 = 104628733120

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

901 : 1, 17, 53, 901

410 : 1, 2, 5, 10, 41, 82, 205, 410

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,901,410,668, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

901:17x 53

410:2x 5x 41

668:2x 2x 167

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 53 = 424

Therefore, the value for common factors is 424.

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 = 104628733120/(1x424)

LCM = 104628733120/424

LCM = 246765880

Thus, we can understand that the LCM of 424,901,410,668 is 246765880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 424, 901, 410, 668

1. What is the LCM of 424, 901, 410, 668?

Answer: LCM of 424, 901, 410, 668 is 246765880.

2. How to calculate the LCM of 424, 901, 410, 668?

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 424, 901, 410, 668.

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}.