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LCM of 299, 664, 680, 748

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


Find the LCM of 299, 664, 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 299, 664, 680, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,664,680,748

Given numbers are 299,664,680,748

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

The LCM of 299,664,680,748 is 185631160.

Find LCM of 299,664,680,748 with Prime Factorization


2 299, 664, 680, 748
2 299, 332, 340, 374
2 299, 166, 170, 187
17 299, 83, 85, 187
299, 83, 5, 11

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

2 x 2 x 2 x 17 x 299 x 83 x 5 x 11 = 185631160

Therefore, the lowest common multiple of 299,664,680,748 is 185631160.

LCM Formula to Find Lowest Common Multiple of 299,664,680,748

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.

299 x 664 x 680 x 748 = 100983351040

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.

299 : 1, 13, 23, 299

664 : 1, 2, 4, 8, 83, 166, 332, 664

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,664,680,748, is 1.

Now, the common factors can be found like this.

299:13x 23

664:2x 2x 2x 83

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 2x 2x 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 100983351040/(1x544)

LCM = 100983351040/544

LCM = 185631160

Thus, we can understand that the LCM of 299,664,680,748 is 185631160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 664, 680, 748

1. What is the LCM of 299, 664, 680, 748?

Answer: LCM of 299, 664, 680, 748 is 185631160.

2. How to calculate the LCM of 299, 664, 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 299, 664, 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}.