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LCM of 822, 905, 713, 278

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


Find the LCM of 822, 905, 713, 278 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 822, 905, 713, 278. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,905,713,278

Given numbers are 822,905,713,278

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

The LCM of 822,905,713,278 is 73726688370.

Find LCM of 822,905,713,278 with Prime Factorization


2 822, 905, 713, 278
411, 905, 713, 139

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

2 x 411 x 905 x 713 x 139 = 73726688370

Therefore, the lowest common multiple of 822,905,713,278 is 73726688370.

LCM Formula to Find Lowest Common Multiple of 822,905,713,278

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.

822 x 905 x 713 x 278 = 147453376740

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

905 : 1, 5, 181, 905

713 : 1, 23, 31, 713

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,905,713,278, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

905:5x 181

713:23x 31

278:2x 139

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

2 = 2

Therefore, the value for common factors is 2.

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 = 147453376740/(1x2)

LCM = 147453376740/2

LCM = 73726688370

Thus, we can understand that the LCM of 822,905,713,278 is 73726688370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 905, 713, 278

1. What is the LCM of 822, 905, 713, 278?

Answer: LCM of 822, 905, 713, 278 is 73726688370.

2. How to calculate the LCM of 822, 905, 713, 278?

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 822, 905, 713, 278.

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}.