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LCM of 277, 689, 587, 312

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


Find the LCM of 277, 689, 587, 312 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 277, 689, 587, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 277,689,587,312

Given numbers are 277,689,587,312

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

The LCM of 277,689,587,312 is 2688737064.

Find LCM of 277,689,587,312 with Prime Factorization


13 277, 689, 587, 312
277, 53, 587, 24

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

13 x 277 x 53 x 587 x 24 = 2688737064

Therefore, the lowest common multiple of 277,689,587,312 is 2688737064.

LCM Formula to Find Lowest Common Multiple of 277,689,587,312

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.

277 x 689 x 587 x 312 = 34953581832

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.

277 : 1, 277

689 : 1, 13, 53, 689

587 : 1, 587

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,689,587,312, is 1.

Now, the common factors can be found like this.

277:277

689:13x 53

587:587

312:2x 2x 2x 3x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 34953581832/(1x13)

LCM = 34953581832/13

LCM = 2688737064

Thus, we can understand that the LCM of 277,689,587,312 is 2688737064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 277, 689, 587, 312

1. What is the LCM of 277, 689, 587, 312?

Answer: LCM of 277, 689, 587, 312 is 2688737064.

2. How to calculate the LCM of 277, 689, 587, 312?

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 277, 689, 587, 312.

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}.