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LCM of 857, 622, 506, 460

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


Find the LCM of 857, 622, 506, 460 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 857, 622, 506, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 857,622,506,460

Given numbers are 857,622,506,460

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

The LCM of 857,622,506,460 is 1348626620.

Find LCM of 857,622,506,460 with Prime Factorization


2 857, 622, 506, 460
23 857, 311, 253, 230
857, 311, 11, 10

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

2 x 23 x 857 x 311 x 11 x 10 = 1348626620

Therefore, the lowest common multiple of 857,622,506,460 is 1348626620.

LCM Formula to Find Lowest Common Multiple of 857,622,506,460

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.

857 x 622 x 506 x 460 = 124073649040

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.

857 : 1, 857

622 : 1, 2, 311, 622

506 : 1, 2, 11, 22, 23, 46, 253, 506

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,622,506,460, is 1.

Now, the common factors can be found like this.

857:857

622:2x 311

506:2x 11x 23

460:2x 2x 5x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 124073649040/(1x92)

LCM = 124073649040/92

LCM = 1348626620

Thus, we can understand that the LCM of 857,622,506,460 is 1348626620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 857, 622, 506, 460

1. What is the LCM of 857, 622, 506, 460?

Answer: LCM of 857, 622, 506, 460 is 1348626620.

2. How to calculate the LCM of 857, 622, 506, 460?

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 857, 622, 506, 460.

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}.