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LCM of 884, 319, 986, 307

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


Find the LCM of 884, 319, 986, 307 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 884, 319, 986, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,319,986,307

Given numbers are 884,319,986,307

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

The LCM of 884,319,986,307 is 86572772.

Find LCM of 884,319,986,307 with Prime Factorization


2 884, 319, 986, 307
17 442, 319, 493, 307
29 26, 319, 29, 307
26, 11, 1, 307

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

2 x 17 x 29 x 26 x 11 x 1 x 307 = 86572772

Therefore, the lowest common multiple of 884,319,986,307 is 86572772.

LCM Formula to Find Lowest Common Multiple of 884,319,986,307

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.

884 x 319 x 986 x 307 = 85360753192

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

319 : 1, 11, 29, 319

986 : 1, 2, 17, 29, 34, 58, 493, 986

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,319,986,307, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

319:11x 29

986:2x 17x 29

307:307

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

2x 17x 29 = 986

Therefore, the value for common factors is 986.

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 = 85360753192/(1x986)

LCM = 85360753192/986

LCM = 86572772

Thus, we can understand that the LCM of 884,319,986,307 is 86572772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 319, 986, 307

1. What is the LCM of 884, 319, 986, 307?

Answer: LCM of 884, 319, 986, 307 is 86572772.

2. How to calculate the LCM of 884, 319, 986, 307?

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 884, 319, 986, 307.

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}.