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LCM of 884, 391, 312, 557

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


Find the LCM of 884, 391, 312, 557 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, 391, 312, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,391,312,557

Given numbers are 884,391,312,557

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

The LCM of 884,391,312,557 is 67949544.

Find LCM of 884,391,312,557 with Prime Factorization


2 884, 391, 312, 557
2 442, 391, 156, 557
13 221, 391, 78, 557
17 17, 391, 6, 557
1, 23, 6, 557

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

2 x 2 x 13 x 17 x 1 x 23 x 6 x 557 = 67949544

Therefore, the lowest common multiple of 884,391,312,557 is 67949544.

LCM Formula to Find Lowest Common Multiple of 884,391,312,557

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 391 x 312 x 557 = 60067396896

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

391 : 1, 17, 23, 391

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,391,312,557, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

391:17x 23

312:2x 2x 2x 3x 13

557:557

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 60067396896/(1x884)

LCM = 60067396896/884

LCM = 67949544

Thus, we can understand that the LCM of 884,391,312,557 is 67949544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 391, 312, 557

1. What is the LCM of 884, 391, 312, 557?

Answer: LCM of 884, 391, 312, 557 is 67949544.

2. How to calculate the LCM of 884, 391, 312, 557?

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, 391, 312, 557.

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}.