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LCM of 714, 667, 839, 667, 299

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


Find the LCM of 714, 667, 839, 667, 299 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 714, 667, 839, 667, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,667,839,667,299

Given numbers are 714,667,839,667,299

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

The LCM of 714,667,839,667,299 is 5194327866.

Find LCM of 714,667,839,667,299 with Prime Factorization


23 714, 667, 839, 667, 299
29 714, 29, 839, 29, 13
714, 1, 839, 1, 13

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

23 x 29 x 714 x 1 x 839 x 1 x 13 = 5194327866

Therefore, the lowest common multiple of 714,667,839,667,299 is 5194327866.

LCM Formula to Find Lowest Common Multiple of 714,667,839,667,299

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.

714 x 667 x 839 x 667 x 299 = 79686183792306

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

667 : 1, 23, 29, 667

839 : 1, 839

667 : 1, 23, 29, 667

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,667,839,667,299, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

667:23x 29

839:839

667:23x 29

299:13x 23

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

23x 23x 29 = 15341

Therefore, the value for common factors is 15341.

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 = 79686183792306/(1x15341)

LCM = 79686183792306/15341

LCM = 5194327866

Thus, we can understand that the LCM of 714,667,839,667,299 is 5194327866.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 714, 667, 839, 667, 299

1. What is the LCM of 714, 667, 839, 667, 299?

Answer: LCM of 714, 667, 839, 667, 299 is 5194327866.

2. How to calculate the LCM of 714, 667, 839, 667, 299?

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 714, 667, 839, 667, 299.

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}.