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LCM of 461, 697, 680

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


Find the LCM of 461, 697, 680 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 461, 697, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,697,680

Given numbers are 461,697,680

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

The LCM of 461,697,680 is 12852680.

Find LCM of 461,697,680 with Prime Factorization


17 461, 697, 680
461, 41, 40

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

17 x 461 x 41 x 40 = 12852680

Therefore, the lowest common multiple of 461,697,680 is 12852680.

LCM Formula to Find Lowest Common Multiple of 461,697,680

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.

461 x 697 x 680 = 218495560

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.

461 : 1, 461

697 : 1, 17, 41, 697

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,697,680, is 1.

Now, the common factors can be found like this.

461:461

697:17x 41

680:2x 2x 2x 5x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 218495560/(1x17)

LCM = 218495560/17

LCM = 12852680

Thus, we can understand that the LCM of 461,697,680 is 12852680.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 461, 697, 680

1. What is the LCM of 461, 697, 680?

Answer: LCM of 461, 697, 680 is 12852680.

2. How to calculate the LCM of 461, 697, 680?

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 461, 697, 680.

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}.