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LCM of 467, 460, 706, 916

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


Find the LCM of 467, 460, 706, 916 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 467, 460, 706, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,460,706,916

Given numbers are 467,460,706,916

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

The LCM of 467,460,706,916 is 17365404340.

Find LCM of 467,460,706,916 with Prime Factorization


2 467, 460, 706, 916
2 467, 230, 353, 458
467, 115, 353, 229

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

2 x 2 x 467 x 115 x 353 x 229 = 17365404340

Therefore, the lowest common multiple of 467,460,706,916 is 17365404340.

LCM Formula to Find Lowest Common Multiple of 467,460,706,916

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.

467 x 460 x 706 x 916 = 138923234720

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.

467 : 1, 467

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

706 : 1, 2, 353, 706

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,460,706,916, is 1.

Now, the common factors can be found like this.

467:467

460:2x 2x 5x 23

706:2x 353

916:2x 2x 229

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 2 = 8

Therefore, the value for common factors is 8.

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 = 138923234720/(1x8)

LCM = 138923234720/8

LCM = 17365404340

Thus, we can understand that the LCM of 467,460,706,916 is 17365404340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 460, 706, 916

1. What is the LCM of 467, 460, 706, 916?

Answer: LCM of 467, 460, 706, 916 is 17365404340.

2. How to calculate the LCM of 467, 460, 706, 916?

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 467, 460, 706, 916.

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}.