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LCM of 911, 212, 713, 319, 689

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


Find the LCM of 911, 212, 713, 319, 689 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 911, 212, 713, 319, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 911,212,713,319,689

Given numbers are 911,212,713,319,689

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

The LCM of 911,212,713,319,689 is 571054822052.

Find LCM of 911,212,713,319,689 with Prime Factorization


53 911, 212, 713, 319, 689
911, 4, 713, 319, 13

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

53 x 911 x 4 x 713 x 319 x 13 = 571054822052

Therefore, the lowest common multiple of 911,212,713,319,689 is 571054822052.

LCM Formula to Find Lowest Common Multiple of 911,212,713,319,689

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.

911 x 212 x 713 x 319 x 689 = 30265905568756

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.

911 : 1, 911

212 : 1, 2, 4, 53, 106, 212

713 : 1, 23, 31, 713

319 : 1, 11, 29, 319

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,212,713,319,689, is 1.

Now, the common factors can be found like this.

911:911

212:2x 2x 53

713:23x 31

319:11x 29

689:13x 53

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

53 = 53

Therefore, the value for common factors is 53.

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 = 30265905568756/(1x53)

LCM = 30265905568756/53

LCM = 571054822052

Thus, we can understand that the LCM of 911,212,713,319,689 is 571054822052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 911, 212, 713, 319, 689

1. What is the LCM of 911, 212, 713, 319, 689?

Answer: LCM of 911, 212, 713, 319, 689 is 571054822052.

2. How to calculate the LCM of 911, 212, 713, 319, 689?

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 911, 212, 713, 319, 689.

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}.