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LCM of 460, 262, 845, 901

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


Find the LCM of 460, 262, 845, 901 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 460, 262, 845, 901. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,262,845,901

Given numbers are 460,262,845,901

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

The LCM of 460,262,845,901 is 9175729940.

Find LCM of 460,262,845,901 with Prime Factorization


2 460, 262, 845, 901
5 230, 131, 845, 901
46, 131, 169, 901

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

2 x 5 x 46 x 131 x 169 x 901 = 9175729940

Therefore, the lowest common multiple of 460,262,845,901 is 9175729940.

LCM Formula to Find Lowest Common Multiple of 460,262,845,901

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.

460 x 262 x 845 x 901 = 91757299400

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.

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

262 : 1, 2, 131, 262

845 : 1, 5, 13, 65, 169, 845

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,262,845,901, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

262:2x 131

845:5x 13x 13

901:17x 53

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 91757299400/(1x10)

LCM = 91757299400/10

LCM = 9175729940

Thus, we can understand that the LCM of 460,262,845,901 is 9175729940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 262, 845, 901

1. What is the LCM of 460, 262, 845, 901?

Answer: LCM of 460, 262, 845, 901 is 9175729940.

2. How to calculate the LCM of 460, 262, 845, 901?

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 460, 262, 845, 901.

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}.