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LCM of 407, 698, 746, 680

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


Find the LCM of 407, 698, 746, 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 407, 698, 746, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,698,746,680

Given numbers are 407,698,746,680

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

The LCM of 407,698,746,680 is 36027786520.

Find LCM of 407,698,746,680 with Prime Factorization


2 407, 698, 746, 680
407, 349, 373, 340

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

2 x 407 x 349 x 373 x 340 = 36027786520

Therefore, the lowest common multiple of 407,698,746,680 is 36027786520.

LCM Formula to Find Lowest Common Multiple of 407,698,746,680

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.

407 x 698 x 746 x 680 = 144111146080

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.

407 : 1, 11, 37, 407

698 : 1, 2, 349, 698

746 : 1, 2, 373, 746

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 407,698,746,680, is 1.

Now, the common factors can be found like this.

407:11x 37

698:2x 349

746:2x 373

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 144111146080/(1x4)

LCM = 144111146080/4

LCM = 36027786520

Thus, we can understand that the LCM of 407,698,746,680 is 36027786520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 698, 746, 680

1. What is the LCM of 407, 698, 746, 680?

Answer: LCM of 407, 698, 746, 680 is 36027786520.

2. How to calculate the LCM of 407, 698, 746, 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 407, 698, 746, 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}.