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LCM of 731, 680, 748

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


Find the LCM of 731, 680, 748 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 731, 680, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,680,748

Given numbers are 731,680,748

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

The LCM of 731,680,748 is 321640.

Find LCM of 731,680,748 with Prime Factorization


2 731, 680, 748
2 731, 340, 374
17 731, 170, 187
43, 10, 11

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

2 x 2 x 17 x 43 x 10 x 11 = 321640

Therefore, the lowest common multiple of 731,680,748 is 321640.

LCM Formula to Find Lowest Common Multiple of 731,680,748

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.

731 x 680 x 748 = 371815840

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.

731 : 1, 17, 43, 731

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,680,748, is 17.

Now, the common factors can be found like this.

731:17x 43

680:2x 2x 2x 5x 17

748:2x 2x 11x 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 2x 17 = 68

Therefore, the value for common factors is 68.

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 = 371815840/(17x68)

LCM = 371815840/1156

LCM = 321640

Thus, we can understand that the LCM of 731,680,748 is 321640.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 731, 680, 748

1. What is the LCM of 731, 680, 748?

Answer: LCM of 731, 680, 748 is 321640.

2. How to calculate the LCM of 731, 680, 748?

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 731, 680, 748.

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}.