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LCM of 701, 891, 722, 418

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


Find the LCM of 701, 891, 722, 418 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 701, 891, 722, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,891,722,418

Given numbers are 701,891,722,418

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

The LCM of 701,891,722,418 is 450954702.

Find LCM of 701,891,722,418 with Prime Factorization


2 701, 891, 722, 418
11 701, 891, 361, 209
19 701, 81, 361, 19
701, 81, 1, 19

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

2 x 11 x 19 x 701 x 81 x 1 x 19 = 450954702

Therefore, the lowest common multiple of 701,891,722,418 is 450954702.

LCM Formula to Find Lowest Common Multiple of 701,891,722,418

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.

701 x 891 x 722 x 418 = 188499065436

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.

701 : 1, 701

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

722 : 1, 2, 19, 38, 361, 722

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,891,722,418, is 1.

Now, the common factors can be found like this.

701:701

891:3x 3x 3x 3x 11

722:2x 19x 19

418:2x 11x 19

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 188499065436/(1x418)

LCM = 188499065436/418

LCM = 450954702

Thus, we can understand that the LCM of 701,891,722,418 is 450954702.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 891, 722, 418

1. What is the LCM of 701, 891, 722, 418?

Answer: LCM of 701, 891, 722, 418 is 450954702.

2. How to calculate the LCM of 701, 891, 722, 418?

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 701, 891, 722, 418.

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}.